What is 42/22 Divided By 8/9

Solving $\frac{42}{22}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{22} \div \frac{8}{9} = \frac{42}{22} \times \frac{9}{8}$

• Multiply the Numerators: $42 \times 9 = 378$
• Multiply the Denominators: $22 \times 8 = 176$
• Form the New Fraction: $\frac{42}{22} \times \frac{8}{9} = \frac{378}{176}$

Let's Simplify $\frac{378}{176}$

• Find the Greatest Common Divisor (GCD) of $378$ and $176$. The GCD of $378$ and $176$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{378 \div 2}{176 \div 2} = \frac{189}{88}$

Answer $\frac{42}{22}\div\frac{8}{9} = \frac{189}{88}$

The following animation demonstrates the divide-by,