Fraction of a Number Math Example 4

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Example 4

hard
A shop has \2400insales. in sales. \frac{3}{8}isspentonmaterials,and is spent on materials, and \frac{1}{6}$ of the remainder is set aside for rent. How much money is set aside for rent?

Solution

  1. 1
    Amount spent on materials: 38ร—2400=72008=900\frac{3}{8} \times 2400 = \frac{7200}{8} = 900.
  2. 2
    Remainder: 2400โˆ’900=15002400 - 900 = 1500.
  3. 3
    Rent: 16ร—1500=15006=250\frac{1}{6} \times 1500 = \frac{1500}{6} = 250.

Answer

$250\$250
Multi-step fraction-of-a-number problems require finding successive fractions of progressively updated totals. It is crucial to apply each fraction to the correct base amount at each step.

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 abร—n=aร—nb\frac{a}{b} \times n = \frac{a \times n}{b}. It answers 'what is this part of the whole amount?'

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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 3 easy

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

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