What is 74/19 Divided By 5/4

Solving $\frac{74}{19}\div\frac{5}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{19} \div \frac{5}{4} = \frac{74}{19} \times \frac{4}{5}$

• Multiply the Numerators: $74 \times 4 = 296$
• Multiply the Denominators: $19 \times 5 = 95$
• Form the New Fraction: $\frac{74}{19} \times \frac{5}{4} = \frac{296}{95}$

Simplify - Since $\frac{296}{95}$​ is already in its simplest form (there are no common factors between $296$ and $95$ other than $1$), this is the final answer.

Answer $\frac{74}{19}\div\frac{5}{4} = \frac{296}{95}$

The following animation demonstrates the divide-by,