Question

Help Prof. Burgurs divide $1\frac{1}{5}\mathrm{by}1\frac{1}{4.}$

• A. $\frac{24}{25}$
• B. $\frac{12}{25}$
• C. $\frac{12}{5}$
• D. $\frac{25}{24}$

Answer 1

The correct option is A $\frac{24}{25}$

To divide mixed fractions, first we have to convert them into improper fractions.
$1\frac{1}{5}=\frac{\left(1\times 5\right)+1}{5}=\frac{5+1}{5}=\frac{6}{5}1\frac{1}{4}=\frac{\left(1\times 4\right)+1}{4}=\frac{4+1}{4}=\frac{5}{4}$
Now, let's divide the two fractions.
$1\frac{1}{5}÷1\frac{1}{4}=\frac{6}{5}÷\frac{5}{4}=\frac{6}{5}\times \frac{4}{5}=\frac{6\times 4}{5\times 5}=\frac{24}{25}$