# Why do you have to multiply or divide both the numerator?

If you multiply both the numerator and denominator of a fraction by the same non-zero number, the fraction remains unchanged in value. Therefore, equivalent fractions can be created by multiplying (or dividing) the numerator and denominator by the same number. This number is referred to as a multiplier.

We also know that when you have the same numerator and denominator in a fraction, it always equals 1. For example: So as long as we multiply or divide both the top and the bottom of a fraction by the same number, it’s just the same as multiplying or dividing by 1 and we won’t change the value of the fraction.

Secondly, what happens when you multiply both the numerator and denominator of a fraction by 4? Multiplying the numerator and the denominator of a fraction by the same nonzero whole number will change that fraction into an equivalent fraction, but it will not change its value. Equivalent fractions may look different, but they have the same value. Let’s look at some more examples of equivalent fractions.

Herein, why do you flip and multiply when dividing fractions?

Since 7⁄7 is also equivalent to 1, we can multiply our answer by 7⁄7 in order to get a whole number for our denominator. Since multiplying by 7 cancels division by 7, we may as well simply multiply by 4 (the divisor’s numerator ). So, inverting and multiplying when dividing fractions is actually just a shortcut!

What happens if the denominator is increased?

_When the numerator stays the same, and the denominator increases, the value of the fraction decreases. _When the denominator stays the same, and the numerator increases, the value of the fraction increases. Equivalent fractions are fractions that may look different but are equal to each other.

### What happens when you multiply by a fraction?

To multiply fractions, first we simplify the fractions if they are not in lowest terms. Then we multiply the numerators of the fractions to get the new numerator, and multiply the denominators of the fractions to get the new denominator.

### What is 3/5 equivalent to as a fraction?

Equivalent Fractions Chart Fraction Fraction Equivalents 2/5 4/10 6/15 3/5 6/10 9/15 4/5 8/10 12/15 1/6 2/12 3/18

### What is an equivalent?

Equivalent Numbers Equivalent means equal in value, function, or meaning. In math, equivalent numbers are numbers that are written differently but represent the same amount.

### What is the equivalent of 5 6?

1518 is equivalent to 56 because 15 x 6 = 18 x 5 = 90.

### What is the equivalent of 2 5?

Fractions equivalent to 2/5 are 4/10, 6/15, 8/20, 10/25,

### What is the fraction 3/8 equivalent to?

1 Answer. A fraction that is equivalent to 38 is 616 .

### How do we divide decimals?

To divide decimal numbers: Multiply the divisor by as many 10’s as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10’s.

### How do you divide fractions examples?

There are 3 Simple Steps to Divide Fractions: Example: 1 2 ÷ 1 6. Turn the second fraction upside down (it becomes a reciprocal): 1 6 becomes 6 1. Another Example: 1 8 ÷ 1 4. Turn the second fraction upside down (the reciprocal): 1 4 becomes 4 1. Example: 2 3 ÷ 5. Make 5 into 5 1 : Example: 3 ÷ 1 4. Make 3 into 3 1 :

### What is it called when you flip a fraction?

To divide one fraction by another one, flip numerator and denominator of the second one, and then multiply the two fractions. The flipped-over fraction is called the multiplicative inverse or reciprocal.

### What is a third of half?

One-third of one-half = (1/3) x (1/2) = (1 x 1)/(3 x 2) = 1/6 is the result.

### Why do we multiply fractions straight across?

Multiplying Fractions. Multiplying fractions is not NEARLY as hard as adding or subtracting them! Then you multiply straight across, so the numerators get multiplied together, and the denominators get multiplied together. In this case, you would be multiplying 1 x 1 (the numerators) and 2 x 4 (the denominators).