What is 28/35 Divided By 8/5

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $28 \times 5 = 140$
• Multiply the Denominators: $35 \times 8 = 280$
• Form the New Fraction: $\frac{28}{35} \times \frac{8}{5} = \frac{140}{280}$

Let's Simplify $\frac{140}{280}$

• Find the Greatest Common Divisor (GCD) of $140$ and $280$. The GCD of $140$ and $280$ is $140$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 140}{280 \div 140} = \frac{1}{2}$

Answer $\frac{28}{35}\div\frac{8}{5} = \frac{1}{2}$

The following animation demonstrates the divide-by,