What is 52/48 Divided By 6/8

Solving $\frac{52}{48}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{48} \div \frac{6}{8} = \frac{52}{48} \times \frac{8}{6}$

• Multiply the Numerators: $52 \times 8 = 416$
• Multiply the Denominators: $48 \times 6 = 288$
• Form the New Fraction: $\frac{52}{48} \times \frac{6}{8} = \frac{416}{288}$

Let's Simplify $\frac{416}{288}$

• Find the Greatest Common Divisor (GCD) of $416$ and $288$. The GCD of $416$ and $288$ is $32$.
• Divide both the numerator and the denominator by the GCD:$\frac{416 \div 32}{288 \div 32} = \frac{13}{9}$

Answer $\frac{52}{48}\div\frac{6}{8} = \frac{13}{9}$

The following animation demonstrates the divide-by,