What is 70/85 Divided By 2/3

Solving $\frac{70}{85}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{85} \div \frac{2}{3} = \frac{70}{85} \times \frac{3}{2}$

• Multiply the Numerators: $70 \times 3 = 210$
• Multiply the Denominators: $85 \times 2 = 170$
• Form the New Fraction: $\frac{70}{85} \times \frac{2}{3} = \frac{210}{170}$

Let's Simplify $\frac{210}{170}$

• Find the Greatest Common Divisor (GCD) of $210$ and $170$. The GCD of $210$ and $170$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 10}{170 \div 10} = \frac{21}{17}$

Answer $\frac{70}{85}\div\frac{2}{3} = \frac{21}{17}$

The following animation demonstrates the divide-by,