Convert 251-4 into decimal-

Interconversion of fractions and decimals251/4 = 25 + 1/4And, 1/4 = 1 × 25/4 × 25 = 25/100 = 0.25Therefore, 25 + 1/4 = 25 + 0.25Hence, 251/4 = 25.25 ...

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Standard V

Mathematics

Fraction to Decimals Conversion

Convert 251/4...

Question

Convert $25 \frac{1}{4}$ into decimal.

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Solution

Interconversion of fractions and decimals
$25 \frac{1}{4} = 25 + \frac{1}{4}$
And, $\frac{1}{4}$ $= \frac{1 \times 25}{4 \times 25} = \frac{25}{100} = 0.25$
Therefore, $25 + \frac{1}{4} = 25 + 0.25$
Hence, $25 \frac{1}{4} = 25.25$

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Convert 2514 into decimal.

Interconversion of fractions and decimals2514=25+14And, 14 =1×254×25=25100=0.25Therefore, 25+14=25+0.25Hence, 2514=25.25

Convert $25 \frac{1}{4}$ into decimal.

Interconversion of fractions and decimals
$25 \frac{1}{4} = 25 + \frac{1}{4}$
And, $\frac{1}{4}$ $= \frac{1 \times 25}{4 \times 25} = \frac{25}{100} = 0.25$
Therefore, $25 + \frac{1}{4} = 25 + 0.25$
Hence, $25 \frac{1}{4} = 25.25$