without long division write decimal expansion of 3/8

Open in App

Solution

$\frac{3}{8} = \frac{3}{8} \times \frac{125}{125} = \frac{375}{1000} = 0.375$
therefore decimal expansion of $\frac{3}{8} is 0.375 .$

Suggest Corrections

Similar questions

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating decimal expansion : $\frac{17}{8}$

Q. Write the decimal expansion of

\frac{91}{1250}

without actual division.

Question 1 (ii)
Without actually performing the long division, state whether $\frac{17}{8}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Q. Without actually performing the long division, state whether the following rational number will have terminating decimal expansion or a non-terminating repeating decimal expansion. Also, find the numbers of places of decimals after which the decimal expansion terminates.

\frac{17}{8}

Join BYJU'S Learning Program

without long division write decimal expansion of 3/8

38 = 38×125125 = 3751000= 0.375 therefore decimal expansion of 38 is 0.375.

$\frac{3}{8} = \frac{3}{8} \times \frac{125}{125} = \frac{375}{1000} = 0.375$
therefore decimal expansion of $\frac{3}{8} is 0.375 .$