Write the following fractions as a sum of fractions and also as decimals: Class 7
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Write the following fractions as a sum of fractions and also as decimals: Class 7
Question 1.
Write the following fractions as a sum of fractions and also as decimals: Class 7
| Fraction | Expanding the Numerator | Sum of one-tenths, one-hundredths, one-thousands,... | Decimals |
| [latex]\frac {254}{1000}[/latex] | [latex]\frac {200}{1000}[/latex] + [latex]\frac {50}{1000}[/latex] + [latex]\frac {4}{1000}[/latex]= [latex]\frac {2}{10}[/latex] + [latex]\frac {5}{100}[/latex] + [latex]\frac {4}{1000}[/latex] | 0.2 + 0.05 + 0.004 | 0.254 |
| [latex]\frac {847}{1000}[/latex] | |||
| [latex]\frac {173}{100}[/latex] | |||
| [latex]\frac {23}{1000}[/latex] |
Solution:
| Fraction | Expanding the Numerator | Sum of one-tenths, one-hundredths, one-thousands,... | Decimals |
| [latex]\frac {254}{1000}[/latex] | [latex]\frac {200}{1000}[/latex] + [latex]\frac {50}{1000}[/latex] + [latex]\frac {4}{1000}[/latex] = [latex]\frac {2}{10}[/latex] + [latex]\frac {5}{100}[/latex] + [latex]\frac {4}{1000}[/latex] | 0.2 + 0.05 + 0.004 | 0.254 |
| [latex]\frac {847}{1000}[/latex] | [latex]\frac {800}{10000}[/latex] + [latex]\frac {40}{10000}[/latex] + [latex]\frac {7}{10000}[/latex] | 0.08 + 0.004 + 0.0007 | 0.0847 |
| [latex]\frac {173}{100}[/latex] | [latex]\frac {100}{100}[/latex] + [latex]\frac {70}{100}[/latex] + [latex]\frac {3}{100}[/latex] | 1 + 0.7 + 0.03 | 1.73 |
| [latex]\frac {23}{1000}[/latex] | [latex]\frac {20}{1000}[/latex] + [latex]\frac {3}{1000}[/latex] | 0.02 + 0.003 | 0.023 |