What is 28/35 Divided By 5/8

Solving $\frac{28}{35}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{35} \div \frac{5}{8} = \frac{28}{35} \times \frac{8}{5}$

• Multiply the Numerators: $28 \times 8 = 224$
• Multiply the Denominators: $35 \times 5 = 175$
• Form the New Fraction: $\frac{28}{35} \times \frac{5}{8} = \frac{224}{175}$

Let's Simplify $\frac{224}{175}$

• Find the Greatest Common Divisor (GCD) of $224$ and $175$. The GCD of $224$ and $175$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{224 \div 7}{175 \div 7} = \frac{32}{25}$

Answer $\frac{28}{35}\div\frac{5}{8} = \frac{32}{25}$

The following animation demonstrates the divide-by,