What is 34/53 Divided By 7/8

Solving $\frac{34}{53}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{53} \div \frac{7}{8} = \frac{34}{53} \times \frac{8}{7}$

• Multiply the Numerators: $34 \times 8 = 272$
• Multiply the Denominators: $53 \times 7 = 371$
• Form the New Fraction: $\frac{34}{53} \times \frac{7}{8} = \frac{272}{371}$

Simplify - Since $\frac{272}{371}$​ is already in its simplest form (there are no common factors between $272$ and $371$ other than $1$), this is the final answer.

Answer $\frac{34}{53}\div\frac{7}{8} = \frac{272}{371}$

The following animation demonstrates the divide-by,