Multiplying Fractions Math Example 4

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Example 4

medium
A tank is 34\frac{3}{4} full. If 25\frac{2}{5} of the water is used, what fraction of the tank is still full?

Solution

  1. 1
    Water used: 25×34=620=310\frac{2}{5} \times \frac{3}{4} = \frac{6}{20} = \frac{3}{10}.
  2. 2
    Water remaining: 34−310\frac{3}{4} - \frac{3}{10}. LCD = 20: 1520−620=920\frac{15}{20} - \frac{6}{20} = \frac{9}{20}.

Answer

920\frac{9}{20}
This problem combines fraction multiplication (to find the part used) with fraction subtraction (to find the remainder). Real-world problems often chain multiple operations.

About Multiplying Fractions

To multiply fractions, multiply the numerators together and the denominators together: ab×cd=a×cb×d\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}. Simplify the result by cancelling common factors.

Learn more about Multiplying Fractions →

More Multiplying Fractions Examples

Example 1 easy

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Example 2 medium

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Example 3 easy

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