What is 48/85 Divided By 7/8

Solving $\frac{48}{85}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{85} \div \frac{7}{8} = \frac{48}{85} \times \frac{8}{7}$

• Multiply the Numerators: $48 \times 8 = 384$
• Multiply the Denominators: $85 \times 7 = 595$
• Form the New Fraction: $\frac{48}{85} \times \frac{7}{8} = \frac{384}{595}$

Simplify - Since $\frac{384}{595}$​ is already in its simplest form (there are no common factors between $384$ and $595$ other than $1$), this is the final answer.

Answer $\frac{48}{85}\div\frac{7}{8} = \frac{384}{595}$

The following animation demonstrates the divide-by,