## How do you divide fractions by cross-multiplication?

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

## What is cross-multiplication method?

Procedure. In practice, the method of cross-multiplying means that we multiply the numerator of each (or one) side by the denominator of the other side, effectively crossing the terms over: The mathematical justification for the method is from the following longer mathematical procedure.

**How do you cross multiply step by step?**

How Does it Work? Multiplying the top and bottom of a fraction by the same amount doesn’t change its value. Step 1: Multiply the top and bottom of the first fraction by the bottom number of the second fraction. Step 2: Multiply the top and bottom of the second fraction by the bottom number that the first fraction had.

**What is cross-multiplication examples?**

Example: Compare 3⁄7 and 5⁄8 using cross-multiplication. To compare two fractions with different denominators, we make their denominators the same. We do it by changing the denominators to the product of both the denominators.

### Why does cross-multiplying fractions work?

Essentially, by cross-multiplying, only the numerators of Page 2 equivalent fractions are recorded. By comparing fractions using cross-multiplication, we lose the concept of finding equivalent fractions, which is why cross-multiplication works.

### How to cross multiply fractions?

Well, to cross multiply them you multiply the numerator in the first fraction by the denominator in the second fraction, then write that number down. Then you multiply the numerator of the second fraction by the denominator of the first fraction. Here is what that looks like. The reason we cross multiply fractions is to compare them.

**How do you multiply and divide fractions in math?**

Multiplying and Dividing Fractions. To multiply two fractions simply multiply the numerators and multiply the denominators. 3 times 2 is 6, and 4 times 5 is 20. Then we can simplify, 6 and 20 are both divisible by 2. Divide your numerator by 2 and the denominator by 2. 6 divided by 2 is 3, and 20 divided by 2 is 10.

**How do you divide mixed fractions with improper fractions?**

Divide mixed fractions by first converting them to improper fractions and then dividing the fractions as normal. The correct answer is C: 14 27. To multiply fractions, simply multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator.

#### What is cross multiplication and why is it important?

Cross multiplying fractions tells us if the two fractions are equal or which one is greater. This is especially useful when you are working with larger fractions that you aren’t sure how to reduce. Let’s take a look at some numerical examples.