What is 52/42 Divided By 9/8

Solving $\frac{52}{42}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{42} \div \frac{9}{8} = \frac{52}{42} \times \frac{8}{9}$

• Multiply the Numerators: $52 \times 8 = 416$
• Multiply the Denominators: $42 \times 9 = 378$
• Form the New Fraction: $\frac{52}{42} \times \frac{9}{8} = \frac{416}{378}$

Let's Simplify $\frac{416}{378}$

• Find the Greatest Common Divisor (GCD) of $416$ and $378$. The GCD of $416$ and $378$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{416 \div 2}{378 \div 2} = \frac{208}{189}$

Answer $\frac{52}{42}\div\frac{9}{8} = \frac{208}{189}$

The following animation demonstrates the divide-by,