What is 28/75 Divided By 4/7

Solving $\frac{28}{75}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{75} \div \frac{4}{7} = \frac{28}{75} \times \frac{7}{4}$

• Multiply the Numerators: $28 \times 7 = 196$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{28}{75} \times \frac{4}{7} = \frac{196}{300}$

Let's Simplify $\frac{196}{300}$

• Find the Greatest Common Divisor (GCD) of $196$ and $300$. The GCD of $196$ and $300$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{196 \div 4}{300 \div 4} = \frac{49}{75}$

Answer $\frac{28}{75}\div\frac{4}{7} = \frac{49}{75}$

The following animation demonstrates the divide-by,