Fraction of a Number Math Example 3

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

Example 3

easy
A bag holds 4545 marbles. 25\frac{2}{5} of them are red. How many marbles are red?

Solution

  1. 1
    Divide by the denominator: 45÷5=945 \div 5 = 9.
  2. 2
    Multiply by the numerator: 9×2=189 \times 2 = 18.

Answer

18 red marbles18 \text{ red marbles}
The phrase 'fraction of a quantity' means multiply. Breaking the multiplication into two steps (divide by denominator, then multiply by numerator) keeps the numbers manageable.

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 2 medium

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

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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