What is 70/26 Divided By 7/4

Solving $\frac{70}{26}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{26} \div \frac{7}{4} = \frac{70}{26} \times \frac{4}{7}$

• Multiply the Numerators: $70 \times 4 = 280$
• Multiply the Denominators: $26 \times 7 = 182$
• Form the New Fraction: $\frac{70}{26} \times \frac{7}{4} = \frac{280}{182}$

Let's Simplify $\frac{280}{182}$

• Find the Greatest Common Divisor (GCD) of $280$ and $182$. The GCD of $280$ and $182$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 14}{182 \div 14} = \frac{20}{13}$

Answer $\frac{70}{26}\div\frac{7}{4} = \frac{20}{13}$

The following animation demonstrates the divide-by,