Convert 7-5 into decimal-

Interconversion of decimal and fraction7/5 = 7 × 2/5 × 2 = 14/10And, 14/10 = 14/10 = 1 + 4/10And, 4/10 = 0.4 Therefore, 14/10 = 1 + 0.4 = 1.4Hence, 7/5 = 1.4 ...

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Standard V

Mathematics

Fraction to Decimals Conversion

Convert 7/5 i...

Question

Convert $\frac{7}{5}$ into decimal.

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Solution

Interconversion of decimal and fraction
$\frac{7}{5} = \frac{7 \times 2}{5 \times 2} = \frac{14}{10}$
And, $\frac{14}{10} = 1 \frac{4}{10} = 1 + \frac{4}{10}$
And, $\frac{4}{10} = 0.4$
Therefore, $\frac{14}{10} = 1 + 0.4 = 1.4$
Hence, $\frac{7}{5} = 1.4$

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Convert 75 into decimal.

Interconversion of decimal and fraction75=7×25×2=1410And, 1410=1410=1+410And, 410=0.4 Therefore, 1410=1+0.4=1.4Hence, 75=1.4

Convert $\frac{7}{5}$ into decimal.

Interconversion of decimal and fraction
$\frac{7}{5} = \frac{7 \times 2}{5 \times 2} = \frac{14}{10}$
And, $\frac{14}{10} = 1 \frac{4}{10} = 1 + \frac{4}{10}$
And, $\frac{4}{10} = 0.4$
Therefore, $\frac{14}{10} = 1 + 0.4 = 1.4$
Hence, $\frac{7}{5} = 1.4$