What is 48/11 Divided By 8/7

Solving $\frac{48}{11}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{11} \div \frac{8}{7} = \frac{48}{11} \times \frac{7}{8}$

• Multiply the Numerators: $48 \times 7 = 336$
• Multiply the Denominators: $11 \times 8 = 88$
• Form the New Fraction: $\frac{48}{11} \times \frac{8}{7} = \frac{336}{88}$

Let's Simplify $\frac{336}{88}$

• Find the Greatest Common Divisor (GCD) of $336$ and $88$. The GCD of $336$ and $88$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{336 \div 8}{88 \div 8} = \frac{42}{11}$

Answer $\frac{48}{11}\div\frac{8}{7} = \frac{42}{11}$

The following animation demonstrates the divide-by,