What is 42/85 Divided By 2/9

Solving $\frac{42}{85}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{85} \div \frac{2}{9} = \frac{42}{85} \times \frac{9}{2}$

• Multiply the Numerators: $42 \times 9 = 378$
• Multiply the Denominators: $85 \times 2 = 170$
• Form the New Fraction: $\frac{42}{85} \times \frac{2}{9} = \frac{378}{170}$

Let's Simplify $\frac{378}{170}$

• Find the Greatest Common Divisor (GCD) of $378$ and $170$. The GCD of $378$ and $170$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{378 \div 2}{170 \div 2} = \frac{189}{85}$

Answer $\frac{42}{85}\div\frac{2}{9} = \frac{189}{85}$

The following animation demonstrates the divide-by,