What is 42/52 Divided By 8/9

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,