What is 52/45 Divided By 8/6

Solving $\frac{52}{45}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{45} \div \frac{8}{6} = \frac{52}{45} \times \frac{6}{8}$

• Multiply the Numerators: $52 \times 6 = 312$
• Multiply the Denominators: $45 \times 8 = 360$
• Form the New Fraction: $\frac{52}{45} \times \frac{8}{6} = \frac{312}{360}$

Let's Simplify $\frac{312}{360}$

• Find the Greatest Common Divisor (GCD) of $312$ and $360$. The GCD of $312$ and $360$ is $24$.
• Divide both the numerator and the denominator by the GCD:$\frac{312 \div 24}{360 \div 24} = \frac{13}{15}$

Answer $\frac{52}{45}\div\frac{8}{6} = \frac{13}{15}$

The following animation demonstrates the divide-by,