Fraction of a Number Math Example 2

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Example 2

medium
A school has 360360 students. 59\frac{5}{9} of them play a sport. How many students play a sport?

Solution

  1. 1
    Find 59\frac{5}{9} of 360360.
  2. 2
    Divide by the denominator: 360÷9=40360 \div 9 = 40.
  3. 3
    Multiply by the numerator: 40×5=20040 \times 5 = 200.
  4. 4
    Check: 59×360=18009=200\frac{5}{9} \times 360 = \frac{1800}{9} = 200 \checkmark

Answer

200 students200 \text{ students}
In real-world problems, 'fraction of a total' translates directly to multiplication. Dividing the total by the denominator gives one equal share, and multiplying by the numerator gives the required number of shares.

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 1 easy

Find [formula] of [formula].

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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