What is 42/85 Divided By 9/4

Solving $\frac{42}{85}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{85} \div \frac{9}{4} = \frac{42}{85} \times \frac{4}{9}$

• Multiply the Numerators: $42 \times 4 = 168$
• Multiply the Denominators: $85 \times 9 = 765$
• Form the New Fraction: $\frac{42}{85} \times \frac{9}{4} = \frac{168}{765}$

Let's Simplify $\frac{168}{765}$

• Find the Greatest Common Divisor (GCD) of $168$ and $765$. The GCD of $168$ and $765$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 3}{765 \div 3} = \frac{56}{255}$

Answer $\frac{42}{85}\div\frac{9}{4} = \frac{56}{255}$

The following animation demonstrates the divide-by,