What are Equivalent Fractions?
In math, equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.
How many equivalent fractions can a child show?
Instead of handing out regular fraction worksheets to your children, ask your child to divide the pizza or pancakes such that he can show three equivalent fractions.
Why are fractions the same?
Why are they the same? Because when you multiply or divide both the top and bottom by the same number, the fraction keeps it’s value.
Can you multiply to get an equivalent fraction?
You only multiply or divide, never add or subtract, to get an equivalent fraction.
What is equivalent fraction?
Equivalent fractions are fractions that, although they have different digits in the numerator and denominator, represent the same value. For example, the fractions , , and all represent the same part of a whole: 1/2. This can be depicted using fraction bars:
What happens when unlike fractions are converted into equivalent fractions?
If they are unlike fractions, then the unlike fractions must be converted into equivalent fractions that share the same denominator in order to be added or subtracted.
What happens when you multiply a fraction by 1?
Since multiplying any number by 1 results in the same number, multiplying any fraction by a fractional representation of the number 1 results in an equivalent fraction.
What is the least common multiple of 2 and 5?
1. : The least common multiple of 2 and 5 is 10 , so we will convert the above fractions to equivalent fractions that have a denominator of 10 in order to add them. 2. : The least common multiple of 7 and 21 is 21, so we only need to convert the first fraction to an equivalent fraction.
Is each fraction bar the same?
Even though each of the fraction bars is broken up into a different number of parts, each of the fraction bars represents the same fraction, albeit with different numerators and denominators. Any given fraction has an infinite number of equivalent fractions.
Can you divide to find equivalent fractions?
Depending on the starting fraction, it is also possible to divide to find equivalent fractions . For example, dividing the numerator and denominator of by 4 would give us , another equivalent fraction of .
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.
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 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 are Equivalent Fractions?
Two or more fractions are said to be equivalent if they are equal to the same fraction when simplified. For example, the equivalent fractions of 1/5 are 5/25, 6/30, and 4/20, which on simplification, result in the same fraction, that is, 1/5.
How to Determine if Two Fractions are Equivalent?
We need to simplify the given fractions to find whether they are equivalent or not. Simplification to get equivalent numbers can be done to a point where both the numerator and denominator should still be whole numbers. There are various methods to identify if the given fractions are equivalent. Some of them are:
How to write 6/8 as an equivalent fraction?
In order to write the equivalent fraction for 6/8, let us multiply the numerator and denominator by 2 and we will get (6 × 2)/ (8 × 2) = 12/16. Therefore, 6/8 and 12/16 are equivalent fractions. Now, let us get another equivalent fraction for 6/8, by dividing it by a common number, say, 2. After dividing the numerator and denominator by 2 and we will get (6 ÷ 2)/ (8 ÷ 2) = 3/4. Therefore, 6/8 and 3/4 are equivalent fractions.
How to multiply the numerator and the denominator?
Multiply the numerator and the denominator by the same number.
What is the LCM of 2/6 and 3/9?
The denominators of the fractions, 2/6 and 3/9 are 6 and 9. The LCM of the denominators 6 and 9 is 18. Let us make the denominators of both fractions 18, by multiplying them with suitable numbers.
Is a decimal the same as a fraction?
The decimal values of both the fractions are the same and hence, they are equivalent.
Do equivalent fractions get reduced to the same fraction?
All equivalent fractions get reduced to the same fraction in their simplest form as seen in the above example. Explore the given lesson to get a better idea of how to find equivalent fractions and how to check if the given fractions are equivalent.
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.
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.
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 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 happens when you multiply the denominator and the numerator of a fraction?
In other words, multiplying the numerator and denominator of a fraction by the same number will produce an equivalent fraction. Though the numbers in the new fraction will be different, the fractions will have the same value.