Dividing fractions

Dividing fractions can be done using the following steps:

Invert the second fraction (the divisor) by swapping its numerator and denominator.
Multiply the first fraction (the dividend) by the inverted second fraction.
Simplify the resulting fraction (if possible) by reducing it to its lowest terms.
The formula for dividing two fractions a/b and c/d is:

a/b ÷ c/d = a/b × d/c
Here are the steps in more detail:

Example: 2/3 ÷ 4/5

Invert the second fraction by swapping its numerator and denominator:

4/5 → 5/4
Multiply the first fraction by the inverted second fraction:

2/3 × 5/4 = 10/12
Simplify the resulting fraction by reducing it to its lowest terms. In this case, both the numerator and denominator are divisible by 2:

10/12 = 5/6
Therefore, 2/3 ÷ 4/5 = 5/6.