What is 28/98 Divided By 5/8

Solving $\frac{28}{98}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{98} \div \frac{5}{8} = \frac{28}{98} \times \frac{8}{5}$

• Multiply the Numerators: $28 \times 8 = 224$
• Multiply the Denominators: $98 \times 5 = 490$
• Form the New Fraction: $\frac{28}{98} \times \frac{5}{8} = \frac{224}{490}$

Let's Simplify $\frac{224}{490}$

• Find the Greatest Common Divisor (GCD) of $224$ and $490$. The GCD of $224$ and $490$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{224 \div 14}{490 \div 14} = \frac{16}{35}$

Answer $\frac{28}{98}\div\frac{5}{8} = \frac{16}{35}$

The following animation demonstrates the divide-by,