Dividing Fractions Math Example 3

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Example 3

easy
Compute 56÷512\frac{5}{6} \div \frac{5}{12}.

Solution

  1. 1
    Multiply by the reciprocal: 56×125\frac{5}{6} \times \frac{12}{5}.
  2. 2
    Cancel the 5s and simplify 126=2\frac{12}{6} = 2: answer is 22.

Answer

22
After flipping the divisor, look for common factors to cancel before multiplying.

About Dividing Fractions

Dividing by a fraction means multiplying by its reciprocal: ab÷cd=ab×dc=adbc\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{ad}{bc}. This works because division asks 'how many groups of this size fit?'

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More Dividing Fractions Examples

Example 1 easy

Divide [formula].

Example 2 medium

A ribbon is [formula] of a metre long. It is cut into pieces that are each [formula] of a metre. How

Example 4 hard

A container holds [formula] of a litre of juice. Each glass holds [formula] of a litre. How many ful

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