What is 12/85 Divided By 2/7

Solving $\frac{12}{85}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{12}{85} \div \frac{2}{7} = \frac{12}{85} \times \frac{7}{2}$

• Multiply the Numerators: $12 \times 7 = 84$
• Multiply the Denominators: $85 \times 2 = 170$
• Form the New Fraction: $\frac{12}{85} \times \frac{2}{7} = \frac{84}{170}$

Let's Simplify $\frac{84}{170}$

• Find the Greatest Common Divisor (GCD) of $84$ and $170$. The GCD of $84$ and $170$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{84 \div 2}{170 \div 2} = \frac{42}{85}$

Answer $\frac{12}{85}\div\frac{2}{7} = \frac{42}{85}$

The following animation demonstrates the divide-by,