Solve Fraction Division: 4/6 ÷ 3/7 Step-by-Step

Dividing by a fraction is the same as multiplying by its reciprocal. Think of it this way: $\frac{4}{6} ÷ \frac{3}{7}$ asks "how many $\frac{3}{7}$s fit into $\frac{4}{6}$?" This is answered by multiplying by $\frac{7}{3}$.

It's highly recommended! Simplifying $\frac{4}{6}$ to $\frac{2}{3}$ first makes the multiplication easier: $\frac{2×7}{3×3} = \frac{14}{9}$ instead of $\frac{4×7}{6×3} = \frac{28}{18}$.

Divide the numerator by the denominator! For $\frac{14}{9}$:

• 14 ÷ 9 = 1 with remainder 5
• So $\frac{14}{9} = 1\frac{5}{9}$

That's your clue that you need to convert! If you get an improper fraction like $\frac{14}{9}$, always convert it to a mixed number to match the answer format.

It depends on what the question asks for! Both $\frac{14}{9}$ and $1\frac{5}{9}$ are correct, but mixed numbers are often preferred in word problems and multiple choice questions.