What is 42/85 Divided By 4/7

Solving $\frac{42}{85}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{85} \div \frac{4}{7} = \frac{42}{85} \times \frac{7}{4}$

• Multiply the Numerators: $42 \times 7 = 294$
• Multiply the Denominators: $85 \times 4 = 340$
• Form the New Fraction: $\frac{42}{85} \times \frac{4}{7} = \frac{294}{340}$

Let's Simplify $\frac{294}{340}$

• Find the Greatest Common Divisor (GCD) of $294$ and $340$. The GCD of $294$ and $340$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{294 \div 2}{340 \div 2} = \frac{147}{170}$

Answer $\frac{42}{85}\div\frac{4}{7} = \frac{147}{170}$

The following animation demonstrates the divide-by,