Convert 183-24into decimal-

Interconversion of fractions and decimals183/4 = 18 + 3/4And, 3/4 = 3 × 25/4 × 25 = 75/100 = 0.75Therefore, 18 + 3/4 = 18 + 0.75 = 18.75Hence, 183/4 = 18.75. ...

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Standard V

Mathematics

Fraction to Decimals Conversion

Convert 183/2...

Question

Convert $18 \frac{3}{24}$ into decimal.

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Solution

Interconversion of fractions and decimals
$18 \frac{3}{4} = 18 + \frac{3}{4}$
And, $\frac{3}{4} = \frac{3 \times 25}{4 \times 25} = \frac{75}{100} = 0.75$
Therefore, $18 + \frac{3}{4} = 18 + 0.75 = 18.75$
Hence, $18 \frac{3}{4} = 18.75$ .

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Convert 18324into decimal.

Interconversion of fractions and decimals1834=18+34And, 34=3×254×25=75100=0.75Therefore, 18+34=18+0.75=18.75Hence, 1834=18.75.

Convert $18 \frac{3}{24}$ into decimal.

Interconversion of fractions and decimals
$18 \frac{3}{4} = 18 + \frac{3}{4}$
And, $\frac{3}{4} = \frac{3 \times 25}{4 \times 25} = \frac{75}{100} = 0.75$
Therefore, $18 + \frac{3}{4} = 18 + 0.75 = 18.75$
Hence, $18 \frac{3}{4} = 18.75$ .