Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

to divide two fractions, we \keep it, change it, flip it\. this means, …

Question

to divide two fractions, we \keep it, change it, flip it\. this means, we keep the first fraction the same, change the division to a multiplication, and then take the reciprocal of the second fraction. then multiply and reduce. for example,
\\(\frac{3}{4} \div \frac{1}{2} = \frac{3}{4} \times \frac{2}{1} = \frac{6}{4} = \frac{3}{2}\\)
complete each step to find the quotient:
\\(\frac{5}{6} \div \frac{4}{5} = \square \times \square = \square\\)

Explanation:

Step1: Keep first fraction, flip second

$\frac{5}{6} \div \frac{4}{5} = \frac{5}{6} \times \frac{5}{4}$

Step2: Multiply numerators and denominators

$\frac{5 \times 5}{6 \times 4} = \frac{25}{24}$

Answer:

$\frac{5}{6}$, $\frac{5}{4}$, $\frac{25}{24}$