EDEXCEL GCSE FOUNDATION MATHS - What is Dividing Fractions

Dividing Fractions: A Step-by-Step Guide

Dividing fractions might seem tricky, but it's actually quite simple once you understand the concept. Here's a breakdown:

1. Flip the Second Fraction (Reciprocal)

The first step in dividing fractions is to flip the second fraction. This means turning the numerator into the denominator and vice versa. This flipped fraction is called the reciprocal.

Example: If you're dividing 3/4 by 2/5, flip the second fraction: 2/5 becomes 5/2.

2. Multiply the Fractions

Now, instead of dividing, you'll multiply the first fraction by the flipped second fraction (the reciprocal).

Example: Multiply 3/4 by 5/2.

3. Simplify (If Possible)

Multiply the numerators and the denominators. Simplify the resulting fraction if possible.

Example: * (3/4) * (5/2) = (3 * 5) / (4 * 2) = 15/8

4. Convert to a Mixed Number (If Necessary)

If the fraction you get is an improper fraction (where the numerator is larger than the denominator), you can convert it to a mixed number.

Example: 15/8 can be converted to 1 7/8.

Let's Summarize:

To divide fractions:

1. Flip the second fraction (find its reciprocal).
2. Multiply the first fraction by the flipped fraction.
3. Simplify the resulting fraction.
4. Convert to a mixed number if necessary.

Example:

Divide 2/3 by 1/4.

1. Flip the second fraction: 1/4 becomes 4/1.
2. Multiply: (2/3) * (4/1) = (2 * 4) / (3 * 1) = 8/3.
3. Convert to a mixed number: 8/3 = 2 2/3.

Therefore, 2/3 divided by 1/4 equals 2 2/3.

Practice Makes Perfect:

Try dividing different fractions using the steps above. You'll soon be a pro at dividing fractions!