What is 28/52 Divided By 4/5

Solving $\frac{28}{52}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{52} \div \frac{4}{5} = \frac{28}{52} \times \frac{5}{4}$

• Multiply the Numerators: $28 \times 5 = 140$
• Multiply the Denominators: $52 \times 4 = 208$
• Form the New Fraction: $\frac{28}{52} \times \frac{4}{5} = \frac{140}{208}$

Let's Simplify $\frac{140}{208}$

• Find the Greatest Common Divisor (GCD) of $140$ and $208$. The GCD of $140$ and $208$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 4}{208 \div 4} = \frac{35}{52}$

Answer $\frac{28}{52}\div\frac{4}{5} = \frac{35}{52}$

The following animation demonstrates the divide-by,