What is 46/53 Divided By 3/4

Solving $\frac{46}{53}\div\frac{3}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{53} \div \frac{3}{4} = \frac{46}{53} \times \frac{4}{3}$

• Multiply the Numerators: $46 \times 4 = 184$
• Multiply the Denominators: $53 \times 3 = 159$
• Form the New Fraction: $\frac{46}{53} \times \frac{3}{4} = \frac{184}{159}$

Simplify - Since $\frac{184}{159}$​ is already in its simplest form (there are no common factors between $184$ and $159$ other than $1$), this is the final answer.

Answer $\frac{46}{53}\div\frac{3}{4} = \frac{184}{159}$

The following animation demonstrates the divide-by,