What is 48/74 Divided By 8/7

Solving $\frac{48}{74}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{74} \div \frac{8}{7} = \frac{48}{74} \times \frac{7}{8}$

• Multiply the Numerators: $48 \times 7 = 336$
• Multiply the Denominators: $74 \times 8 = 592$
• Form the New Fraction: $\frac{48}{74} \times \frac{8}{7} = \frac{336}{592}$

Let's Simplify $\frac{336}{592}$

• Find the Greatest Common Divisor (GCD) of $336$ and $592$. The GCD of $336$ and $592$ is $16$.
• Divide both the numerator and the denominator by the GCD:$\frac{336 \div 16}{592 \div 16} = \frac{21}{37}$

Answer $\frac{48}{74}\div\frac{8}{7} = \frac{21}{37}$

The following animation demonstrates the divide-by,