Fraction of a Number Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
Find 34\frac{3}{4} of 2828.

Solution

  1. 1
    Divide by the denominator first: 28÷4=728 \div 4 = 7.
  2. 2
    Multiply by the numerator: 7×3=217 \times 3 = 21.
  3. 3
    Alternatively: 34×28=3×284=844=21\frac{3}{4} \times 28 = \frac{3 \times 28}{4} = \frac{84}{4} = 21.

Answer

2121
Finding a fraction of a number is multiplication: 'of' means multiply. A practical two-step method is to divide by the denominator first (to find one equal part) and then multiply by the numerator (to count the required parts).

About Fraction of a Number

Finding a fraction of a number means multiplying that number by the fraction: ab\frac{a}{b} of nn equals ab×n=a×nb\frac{a}{b} \times n = \frac{a \times n}{b}. It answers 'what is this part of the whole amount?'

Learn more about Fraction of a Number →

More Fraction of a Number Examples

Example 2 medium

A school has [formula] students. [formula] of them play a sport. How many students play a sport?

Example 3 easy

A bag holds [formula] marbles. [formula] of them are red. How many marbles are red?

Example 4 hard

A shop has [formula]2400[formula]frac{3}{8}[formula]frac{1}{6}$ of the remainder is set aside for re

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