What is 70/46 Divided By 5/7

Solving $\frac{70}{46}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{46} \div \frac{5}{7} = \frac{70}{46} \times \frac{7}{5}$

• Multiply the Numerators: $70 \times 7 = 490$
• Multiply the Denominators: $46 \times 5 = 230$
• Form the New Fraction: $\frac{70}{46} \times \frac{5}{7} = \frac{490}{230}$

Let's Simplify $\frac{490}{230}$

• Find the Greatest Common Divisor (GCD) of $490$ and $230$. The GCD of $490$ and $230$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{490 \div 10}{230 \div 10} = \frac{49}{23}$

Answer $\frac{70}{46}\div\frac{5}{7} = \frac{49}{23}$

The following animation demonstrates the divide-by,