Question

Covert the following decimals into fraction in the lowest terms.
(i) $0.836$ (ii) $5.625$

• A. $i)\frac{35}{8}$ $ii)\frac{29}{50}$
• B. $i)\frac{25}{100}$ $ii)\frac{209}{250}$
• C. $i)\frac{209}{250}$ $ii)\frac{45}{8}$
• D. $i)\frac{45}{40}$ $ii)\frac{250}{209}$

Answer 1

The correct option is C $i)\frac{209}{250}$ $ii)\frac{45}{8}$

Now,

(i) $0.836=\frac{836}{1000}=\frac{4\times 209}{4\times 250}=\frac{209}{250}$.

(ii) $5.625=\frac{5625}{1000}=\frac{125\times 45}{125\times 8}=\frac{45}{8}$.