What is 27/38 Divided By 4/9

Solving $\frac{27}{38}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{38} \div \frac{4}{9} = \frac{27}{38} \times \frac{9}{4}$

• Multiply the Numerators: $27 \times 9 = 243$
• Multiply the Denominators: $38 \times 4 = 152$
• Form the New Fraction: $\frac{27}{38} \times \frac{4}{9} = \frac{243}{152}$

Simplify - Since $\frac{243}{152}$​ is already in its simplest form (there are no common factors between $243$ and $152$ other than $1$), this is the final answer.

Answer $\frac{27}{38}\div\frac{4}{9} = \frac{243}{152}$

The following animation demonstrates the divide-by,