What is 28/76 Divided By 7/5

Solving $\frac{28}{76}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{76} \div \frac{7}{5} = \frac{28}{76} \times \frac{5}{7}$

• Multiply the Numerators: $28 \times 5 = 140$
• Multiply the Denominators: $76 \times 7 = 532$
• Form the New Fraction: $\frac{28}{76} \times \frac{7}{5} = \frac{140}{532}$

Let's Simplify $\frac{140}{532}$

• Find the Greatest Common Divisor (GCD) of $140$ and $532$. The GCD of $140$ and $532$ is $28$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 28}{532 \div 28} = \frac{5}{19}$

Answer $\frac{28}{76}\div\frac{7}{5} = \frac{5}{19}$

The following animation demonstrates the divide-by,