What is 70/85 Divided By 4/3

Solving $\frac{70}{85}\div\frac{4}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{85} \div \frac{4}{3} = \frac{70}{85} \times \frac{3}{4}$

• Multiply the Numerators: $70 \times 3 = 210$
• Multiply the Denominators: $85 \times 4 = 340$
• Form the New Fraction: $\frac{70}{85} \times \frac{4}{3} = \frac{210}{340}$

Let's Simplify $\frac{210}{340}$

• Find the Greatest Common Divisor (GCD) of $210$ and $340$. The GCD of $210$ and $340$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 10}{340 \div 10} = \frac{21}{34}$

Answer $\frac{70}{85}\div\frac{4}{3} = \frac{21}{34}$

The following animation demonstrates the divide-by,