For instance, I could divide both 9 and 12 by 3, giving me 3/4, which is an equivalent fraction to 9/12. 3/4 is also the simplified form of 9/12. I could also multiply both numbers by 2, giving me 18/24, which is also an equivalent fraction to 9/12. Multiplying and dividing is the only way to come up with equivalent fractions.
What is the simplified fraction of 9 over 12?
We do this by first finding the greatest common factor of 9 and 12, which is 3. Then, we divide both 9 and 12 by the greatest common factor to get the following simplified fraction: 3/4. Therefore, this equation is true: 9/12 = 3/4. If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction.
How do you find equivalent fractions?
- Equivalent fractions may look different, but they have the same value.
- You can multiply or divide to find an equivalent fraction.
- Adding or subtracting does not work for finding an equivalent fraction.
- If you multiply or divide by the top of the fraction, you must do the same to the bottom.
How do you calculate percentage of a fraction?
They are:
- Identify the original form of the number, i.e. fraction or decimal. …
- Perform the mathematical operation on the number. That means, if the given number is a fraction, convert it to a decimal number. …
- Multiply the result obtained in the previous step by 100 and the resulted value should be expressed as a percentage. For example, 0.267 × 100 = 26.7%.
How to write equivalent fractions?
Equivalent fractions can be written by multiplying or dividing both the numerator and the denominator by the same number. This is the reason why these fractions get reduced to the same number when they are simplified. For example, let us write an equivalent fraction for 2/3.
Are the fractions 3/4 and 9/12 equivalent?
Equivalent fractions of 3/4 : 6/8 , 9/12 , 12/16 , 15/
What fraction is 2/3 equivalent to?
An equivalent fraction of two-thirds (2/3) is sixteen twenty-fourths (16/24).
What is 8/12 equivalent to as a fraction?
2/32/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3.
How do you find equivalent fractions?
To find the equivalent fractions for any given fraction, multiply the numerator and the denominator by the same number. For example, to find an equivalent fraction of 3/4, multiply the numerator 3 and the denominator 4 by the same number, say, 2. Thus, 6/8 is an equivalent fraction of 3/4.
What is the equivalent fraction to 9 12?
3/4For example, to simplify the fraction 9/12, find a number that both the numerator and denominator can be divided by (also known as a ‘common factor’), such as 3. 9/12 ÷ 3/3 = 3/4, so 9/12 and 3/4 are equivalent fractions, with 3/4 being the fraction in its simplest form.
What fraction is 2 4 equivalent to?
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 the simplest form of 9 12?
So the greatest common factor of 9 and 12 is 3. So you divide both sides by 3. So the simplest form of 912 is 34 .
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 1/3 the same as?
Answer: The fractions equivalent to 1/3 are 2/6, 3/9, 4/12, etc. Equivalent fractions have the same value in the reduced form. Explanation: Equivalent fractions can be written by multiplying or dividing both the numerator and the denominator by the same number.
What is equivalent calculator?
Equivalent Expression Calculator is a free online tool that displays the equivalent expressions for the given algebraic expression. BYJU’S online equivalent expression calculator tool makes the calculations and simplification faster and it displays the equivalent expression in a fraction of seconds.
What is a equivalent to?
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.
What is 1/5 equal to as a fraction?
Fractions equivalent to 1/5: 2/10, 3/15, 4/20, 5/25 and so on … Fractions equivalent to 2/5: 4/10, 6/15, 8/20, 10/25 and so on …
What is 3 2 in a whole number?
3/2, when converted to decimals, will be equal to 1.5 which is when rounded off to the nearest whole number will be equal to 2, because if the digit after decimal is greater than or equal to 5, the decimal is rounded up to the next whole number. Hence, 3 over 2 as a whole number will be 2.
What is 3 2 as a percent?
Convert 3/2 to Percentage by Converting to Decimal We can see that this gives us the exact same answer as the first method: 3/2 as a percentage is 150%.
What is 3 2 in a decimal?
1.5Answer: 3/2 as a decimal is expressed as 1.5.
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 is the GCF of 9 12?
Using our GCF calculator, we see the GCF(9, 12) = 3
How to find equivalent fractions for a/b?
An equivalent fraction for a/b is found by multiplying the numerator and denominator by a common integer (n).
How to convert decimals to fractions?
It does however require the understanding that each decimal place to the right of the decimal point represents a power of 10; the first decimal place being 10 1, the second 10 2, the third 10 3, and so on. Simply determine what power of 10 the decimal extends to , use that power of 10 as the denominator, enter each number to the right of the decimal point as the numerator, and simplify. For example, looking at the number 0.1234, the number 4 is in the fourth decimal place which constitutes 10 4, or 10,000. This would make the fraction#N#1234#N##N#10000#N#, which simplifies to#N#617#N##N#5000#N#, since the greatest common factor between the numerator and denominator is 2.
What is fraction in math?
In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole. For example, in the fraction. 3.
How to multiply fractions?
Just multiply the numerators and denominators of each fraction in the problem by the product of the denominators of all the other fractions (not including its own respective denominator) in the problem.
How to find common denominator of fractions?
One method for finding a common denominator involves multiplying the numerators and denominators of all of the fractions involved by the product of the denominators of each fraction. Multiplying all of the denominators ensures that the new denominator is certain to be a multiple of each individual denominator. The numerators also need to be multiplied by the appropriate factors to preserve the value of the fraction as a whole. This is arguably the simplest way to ensure that the fractions have a common denominator. However, in most cases, the solutions to these equations will not appear in simplified form (the provided calculator computes the simplification automatically). Below is an example using this method.
How to divide fractions?
In order to divide fractions, the fraction in the numerator is multiplied by the reciprocal of the fraction in the denominator. The reciprocal of a number a is simply. . When a is a fraction, this essentially involves exchanging the position of the numerator and the denominator. The reciprocal of the fraction.
What is fraction used for in engineering?
In engineering, fractions are widely used to describe the size of components such as pipes and bolts. The most common fractional and decimal equivalents are listed below.
Is it easier to work with simplified fractions?
It is often easier to work with simplified fractions. As such, fraction solutions are commonly expressed in their simplified forms.#N#220#N##N#440#N#for example, is more cumbersome than#N#1#N##N#2#N#. The calculator provided returns fraction inputs in both improper fraction form, as well as mixed number form. In both cases, fractions are presented in their lowest forms by dividing both numerator and denominator by their greatest common factor.
Calculator Use
Compare and order fractions, integers, mixed numbers and decimals in ascending or descending order. Order fractions from least to greatest or from greatest to least.
How to Order Fractions, Integers and Mixed Numbers
To compare and order fractions we must first convert all integers, mixed numbers (mixed fractions) and fractions into values that we can compare. We do this by first converting all terms into fractions, finding the least common denominator ( LCD ), then rewriting each term as an equivalent fraction with the LCD.
Related Calculators
To find which fraction is bigger and which is smaller see the Comparing Fractions Calculator .
What is Meant by the Equivalent Fractions?
In mathematics, the fraction defines the parts of the whole. It is the ratio of two numbers. The fraction is of the form a/b. For example, ⅝ is a fraction. Here, the top number 5 is called the numerator, and the bottom number 8 is called the denominator. The fractions can be classified into different types, namely proper fraction, improper fraction, mixed fraction, like fraction, unlike fractions, equivalent fractions. Let us consider two fractions, 15/20 and 9/12. These fractions are said to be an equivalent fraction because when the fractions are simplified, the resultant fraction will be the same. If 15/20 is simplified, we get ¾. Similarly, if 9/12 is simplified, we get ¾. Hence, it is called equivalent fraction
What are the different types of fractions?
The fractions can be classified into different types, namely proper fraction, improper fraction, mixed fraction, like fraction, unlike fractions, equivalent fractions. Let us consider two fractions, 15/20 and 9/12. These fractions are said to be an equivalent fraction because when the fractions are simplified, the resultant fraction will be …
What is the equivalent of 9/12?
For instance, I could divide both 9 and 12 by 3, giving me 3/4, which is an equivalent fraction to 9/12. 3/4 is also the simplified form of 9/12.
What is the only way to come up with equivalent fractions?
Multiplying and dividing is the only way to come up with equivalent fractions. Adding and subtracting will not work, as well as exponents.
