What is 70/98 Divided By 7/5

Solving $\frac{70}{98}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{98} \div \frac{7}{5} = \frac{70}{98} \times \frac{5}{7}$

• Multiply the Numerators: $70 \times 5 = 350$
• Multiply the Denominators: $98 \times 7 = 686$
• Form the New Fraction: $\frac{70}{98} \times \frac{7}{5} = \frac{350}{686}$

Let's Simplify $\frac{350}{686}$

• Find the Greatest Common Divisor (GCD) of $350$ and $686$. The GCD of $350$ and $686$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{350 \div 14}{686 \div 14} = \frac{25}{49}$

Answer $\frac{70}{98}\div\frac{7}{5} = \frac{25}{49}$

The following animation demonstrates the divide-by,