How to Divide Fractions?

The division of fractions can be classified in three different ways. They are

• Dividing fractions by a fraction
• Dividing fractions by whole number
• Dividing fractions by mixed fraction

Let us discuss all these three methods in a detailed way

Dividing Fraction by a Fraction

In three simple steps, we can solve the division of fractions by converting them into the multiplication of fractions. Let us learn one by one.

Step 1: Write the reciprocal of the second fraction number and multiply it with the first fraction number

Step 2: Multiply the numerators and denominators of both fractions

Step 3: Simplify the fraction number

In general, if a/b is a fraction that is divided by c/d. Then we can solve the division as;

• a/b ÷ c/d = a/b × d/c
• a/b ÷ c/d = a×d / b×c
• a/b ÷ c/d = ad/bc

You can see from the above expressions. If a/b is divided by c/d, then we can write it as a/b multiplied by d/c (reciprocal of c/d). And in the next step, we have to multiply both the numerator a & d and both the denominator, c & d. Hence, we can simplify the rest calculation.