How to make equivalent fractions


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  • You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount.
  • You only multiply or divide, never add or subtract, to get an equivalent fraction.
  • Only divide when the top and bottom stay as whole numbers.

How to Find Equivalent Fractions. Multiply both the numerator and denominator of a fraction by the same whole number. As long as you multiply both top and bottom of the fraction by the same number, you won’t change the value of the fraction, and you’ll create an equivalent fraction.

How do you simplify an equivalent fraction?

  • You could change all the denominators to 12, so the first fraction would be multiplied by 4 to make 4/12.
  • The second fraction would be multiplied by 3 to make 6/12.
  • The third fraction would be multiplied by 2 to make 10/12.
  • The fourth fraction would be multiplied by 4 to make 8/12.
  • The last fraction would stay the same.

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How do you determine if a fraction is equivalent?

To find equivalent fractions, multiply or divide the numerator and the denominator of a fraction by any number, as long as it’s the same on top and bottom. If you divide the original fraction, the result must have whole numbers in the numerator and denominator to be valid. To check the result, use cross-multiplication.

What are the rules of equivalent fractions?

Equivalent Fractions Rule. A rule stating that if the numerator and denominator of a fraction are multiplied by the same nonzero number, the result is a fraction that is equivalent to the original fraction. This rule can be represented as: a//b = (n * a)//(n * b).

How do you make equilevent fractions?

Method 4 of 5: Using Cross Multiplication to Solve for a Variable

  1. Set the two fractions equal to one another. We use cross multiplication for math problems where we know the fractions are equivalent, but one of the numbers has been …
  2. Take the two equivalent fractions and multiply across the equals sign in an “X” shape. …
  3. Introduce a variable. …

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What is equivalent fraction and example?

Equivalent fractions are fractions that represent the same value, even though they look different. For example, if you have a cake, cut it into two equal pieces, and eat one of them, you will have eaten half the cake.


How do you create an equivalent?

2:164:58Create Equivalent Equations II (4 Steps) – YouTubeYouTubeStart of suggested clipEnd of suggested clipThe least common denominator on the right is 3 needed by 8 over 1 as an equivalent fraction with theMoreThe least common denominator on the right is 3 needed by 8 over 1 as an equivalent fraction with the denominator of 3 we’ll multiply the numerator denominator by.


What is 3/5 equivalent to as a fraction?

So, 3/5 = 6/10 = 9/15 = 12/20.


What is 3/4 equivalent to as a fraction?

Equivalent fractions of 3/4 : 6/8 , 9/12 , 12/16 , 15/ Equivalent fractions of 1/5 : 2/10 , 3/15 , 4/20 , 5/


How do you make equivalent fractions with common denominators?

2:3613:475th Grade Math 6.4, Common Denominators & Equivalent FractionsYouTubeStart of suggested clipEnd of suggested clipSo a common denominator of one-half and one-third is six we write one-half and one-third asMoreSo a common denominator of one-half and one-third is six we write one-half and one-third as equivalent fractions using the common denominator.


What is 1/4 equal to as a fraction?

2/8Answer: The fractions equivalent to 1/4 are 2/8, 3/12, 4/16, etc. Equivalent fractions have the same value in their reduced form.


What is 2 4 equivalent to as a fraction?

Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value. For example, 2/4 and 3/6 are equivalent fractions, because they both are equal to the ½.


What is 2/8 equivalent to as a fraction?

1/4Fractions equivalent to 1/4: 2/8, 3/12, 4/16, 5/20 and so on … Fractions equivalent to 2/4: 4/8, 6/12, 8/16, 10/20 and so on … Fractions equivalent to 3/4: 6/8, 9/12, 12/16, 15/20 and so on … Fractions equivalent to 1/5: 2/10, 3/15, 4/20, 5/25 and so on …


What is the fraction 4/5 equivalent to?

8/10Decimal and Fraction Conversion ChartFractionEquivalent Fractions4/58/1048/601/62/1212/725/610/1260/721/72/1412/8423 more rows


Are 3/4 and 2/3 are equivalent fractions?

Step-by-step explanation: 2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3. Similarly, if we divide the numerator and denominator of 12/18 by 6 we get.


What is 5/6 equal to as a fraction?

10/12Decimal and Fraction Conversion ChartFractionEquivalent Fractions5/610/1260/721/72/1412/842/74/1424/843/76/1436/8423 more rows


What is 3/6 equivalent to as a fraction?

1 2 and 6 12 .


What is an example of an equivalent expression?

Examples of Equivalent Expressions 3(x + 2) and 3x + 6 are equivalent expressions because the value of both the expressions remains the same for any value of x. 3x + 6 = 3 × 4 + 6 = 18. and can also be written as 6(x2 + 2y + 1) = 6×2 + 12y + 6. In this lesson, we learn to identify equivalent expressions.


How do you find the equivalent function?

0:003:41How to find equivalent expressions – YouTubeYouTubeStart of suggested clipEnd of suggested clipFirst you will use the distributive property on the left. Then you’ll combine all the like terms onMoreFirst you will use the distributive property on the left. Then you’ll combine all the like terms on the left. Then you will use the distributive property on the right.


How do you make an equivalent expression with exponents?

The product of powers property says that when we multiply powers with the same base, we just have to add the exponents. So, xaxb = x(a + b). As you can see, we keep the base the same and add the exponents together.


What does equivalent mean?

Definition of equivalent 1 : equal in force, amount, or value also : equal in area or volume but not superposable a square equivalent to a triangle. 2a : like in signification or import. b : having logical equivalence equivalent statements. 3 : corresponding or virtually identical especially in effect or function.


How to solve for two equivalent fractions?

Take the two equivalent fractions and multiply across the equals sign in an “X” shape. In other words, you multiply the numerator of one fraction by the denominator of the other and vice versa, then set these two answers equal to each other and solve.


How to find a fraction that’s equivalent to the original?

Multiply the top number and bottom number by the same value to find a fraction that’s equivalent to the original.


How does multiplication and division work?

Multiplication and division work for obtaining equivalent fractions because multiplying and dividing by fractional forms of the number 1 (2/2, 3/3, etc.) give answers that are equivalent to the starting fraction by definition. Addition and subtraction don’t allow this possibility.


How to convert a mixed number to an improper fraction?

For the new numerator, multiply the whole number by the denominator and add the old numerator. In this example, multiply 4 by 7 to get 28, then add 1 to get a numerator of 29. The denominator is 7.


What is the GCF of a fraction?

The greatest common factor (GCF) of the numerator and denominator is the largest number that divides into both to give a whole number result. So, in our 4/8 example, since 4 is the largest number that divides evenly into both 4 and 8, we would divide the numerator and denominator of our fraction by 4 to get it in simplest terms. (4 ÷ 4)/ (8 ÷ 4) = 1/2. For our other example of 8/16, the GCF is 8, which also results in 1/2 as the simplest expression of the fraction.


How to convert fractions that are not in simplest terms to equivalent form?

To convert a fraction that’s not in simplest terms to an equivalent form that is, we divide the numerator and denominator by their greatest common factor. The greatest common factor (GCF) of the numerator and denominator is the largest number that divides into both to give a whole number result.


What is the difference between two fractions that are different but equivalent?

In other words, multiplying the numerator and denominator of a fraction by the same number will produce an equivalent fraction.


What are Equivalent Fractions?

Equivalent fractions state that two or more than two fractions are said to be equal if both results are the same fraction after simplification. Let us say, a/b and c/d are two fractions, after the simplification of these fractions, both result in equivalent fractions, say e/f, then they are equal to each other.


Why are fractions the same?

These fractions are actually the same because when we multiply or divide both the numerator and the denominator by the same number, the value of the fraction actually doesn’t change. Therefore, equivalent fractions, when reduced to their simplified value, will all be the same. For example, consider the fraction 1/5.


What happens when two fractions are given?

If two fractions are given, we can simply find their decimals to check if they are equivalent fractions.


How to make the denominator equal to 9?

Multiply 2/3 by 3/3 to make the denominator equal to 9.


Is a fraction equivalent to a decimal?

Since, both the fractions results in the same decimal, thus they are equivalent.


Do denominators have a common multiple?

The answer to this question is that, as the numerator and denominator are not co-prime numbers, therefore they have a common multiple, which on division gives exactly the same value.


Is 10/12 a fraction?

But, ⅚ and 10/12 are equivalent fractions because of 10/12 = ⅚.


How to make a fraction equivalent?

Multiply both the numerator and denominator of a fraction by the same whole number. As long as you multiply both top and bottom of the fraction by the same number, you won’t change the value of the fraction , and you’ll create an equivalent fraction.


What are Equivalent Fractions?

Equivalent fractions are fractions with different numbers representing the same part of a whole. They have different numerators and denominators, but their fractional values are the same.


What is half of a fraction?

For example, think about the fraction 1/2. It means half of something. You can also say that 6/12 is half, and that 50/100 is half. They represent the same part of the whole. These equivalent fractions contain different numbers but they mean the same thing: 1/2 = 6/12 = 50/100


What is it called when a fraction is the same value but looks different?

Fractions that are the same in value but “look” different are known as equivalent fractions. How can that be? As long as you multiply or divide the top and bottom of a fraction by the same nonzero whole number, the resulting fraction will be equivalent to the original.


What does it mean when cross products are equal?

The cross products are equal. This means that they are equivalent fractions.


Is there a way to show that two fractions are equivalent?

There is also an easier way to show that two fractions are equivalent. We may call it the “Cross-Multiplication” Rule.

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