Question

Write the decimal $0.035$ as fraction or mixed numbers?

Answer 1

Step 1:Given number can be written as numerator.Put $1$ in denominator right below the given decimal point .

It has to be followed by zeros.Number of zeros depends on numbers after the decimal point.

Given decimal $0.035$,has three numbers after the decimal.

so, we place $1000$ in the denominator and remove the decimal point.

This will make it $\frac{35}{1000}$

Step 2: Then, this fraction $\frac{35}{1000}$ can be simplified as follows,

Prime factorisation of $35=5\times 7$

Prime factorisation of $1000=$$2\times 2\times 2\times 5\times 5\times 5$

To find the Greatest Common Factor, multiply all the prime factors common to both numbers.Here Greatest common factor is $5$

Divide both the numerator and denominator by $5$
$\frac{35÷5}{1000÷5}=\frac{7}{200}$

Thus, $0.035$ as a fraction is written as $\frac{7}{200}$.