What is 35/98 Divided By 5/8

Solving $\frac{35}{98}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{98} \div \frac{5}{8} = \frac{35}{98} \times \frac{8}{5}$

• Multiply the Numerators: $35 \times 8 = 280$
• Multiply the Denominators: $98 \times 5 = 490$
• Form the New Fraction: $\frac{35}{98} \times \frac{5}{8} = \frac{280}{490}$

Let's Simplify $\frac{280}{490}$

• Find the Greatest Common Divisor (GCD) of $280$ and $490$. The GCD of $280$ and $490$ is $70$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 70}{490 \div 70} = \frac{4}{7}$

Answer $\frac{35}{98}\div\frac{5}{8} = \frac{4}{7}$

The following animation demonstrates the divide-by,