Question

The decimal 0.238 is equal to the fraction ______.

पर्याय

• ${\displaystyle \frac{119}{500}}$

• ${\displaystyle \frac{238}{25}}$

• ${\displaystyle \frac{119}{25}}$

• ${\displaystyle \frac{119}{50}}$

Answer 1

The decimal 0.238 is equal to the fraction ${\displaystyle \frac{119}{500}}$.

Explanation:

We know that a decimal can be converted into a fraction by taking the numerator as the number obtained by removing the decimal point from the given decimal and taking the denominator as the number obtained by inserting as many zeroes with 1 as there are number of places in the decimal part.

Finally, converting the obtained fraction in its lowest form by dividing numerator and denominator by their HCF.

0.238 = ${\displaystyle \frac{238}{1000}=\frac{238÷2}{1000÷2}=\frac{119}{500}}$  .....[∵ HCF of 238 and 1000 is 2]