Question

What is the decimal form of
$\frac{1}{2}$ + $\frac{1}{4}$ + $\frac{1}{8}$ + $\frac{1}{16}$?

• A. 0.9375
• B. 9.375
• C. 0.9357
• D. 0.09375

Answer 1

The correct option is A 0.9375

Here,
To find out the decimal form, multiply the numerator and denominator of each fraction with such a number so that the denominator becomes a power of 10.

$\frac{1}{2}=\frac{1}{2}\times \frac{5}{5}=\frac{5}{10}=0.5$

$\frac{1}{4}=\frac{1}{4}\times \frac{25}{25}=\frac{25}{100}=0.25$

$\frac{1}{8}=\frac{1}{8}\times \frac{125}{125}=\frac{125}{1000}=0.125$

$\frac{1}{16}=\frac{1}{16}\times \frac{625}{625}=\frac{625}{10000}=0.0625$

$\therefore$ $\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}=0.5+0.25+0.125+0.0625=0.9375$