What is 70/26 Divided By 5/7

Solving $\frac{70}{26}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{26} \div \frac{5}{7} = \frac{70}{26} \times \frac{7}{5}$

• Multiply the Numerators: $70 \times 7 = 490$
• Multiply the Denominators: $26 \times 5 = 130$
• Form the New Fraction: $\frac{70}{26} \times \frac{5}{7} = \frac{490}{130}$

Let's Simplify $\frac{490}{130}$

• Find the Greatest Common Divisor (GCD) of $490$ and $130$. The GCD of $490$ and $130$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{490 \div 10}{130 \div 10} = \frac{49}{13}$

Answer $\frac{70}{26}\div\frac{5}{7} = \frac{49}{13}$

The following animation demonstrates the divide-by,