Diving by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division sign to multiplication and flip the second fraction.
[tex]\frac{3}{15}[/tex] ÷ [tex]\frac{6}{5}[/tex] → [tex]\frac{3}{15}[/tex] × [tex]\frac{5}{6}[/tex]
Now, we are multiplying fractions.
[tex]\frac{3}{15}[/tex] × [tex]\frac{5}{6}[/tex]
To multiply fractions, we can multiply the numerators together and the denominators together.
3 × 5 = 15
15 × 6 = 90
15 ÷ 15 = 1
90 ÷ 15 = 6
Therefore, [tex]\frac{3}{15}[/tex] ÷ [tex]\frac{6}{5}[/tex] = [tex]\frac{1}{6}[/tex]
