What is 28/74 Divided By 4/7

Solving $\frac{28}{74}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{74} \div \frac{4}{7} = \frac{28}{74} \times \frac{7}{4}$

• Multiply the Numerators: $28 \times 7 = 196$
• Multiply the Denominators: $74 \times 4 = 296$
• Form the New Fraction: $\frac{28}{74} \times \frac{4}{7} = \frac{196}{296}$

Let's Simplify $\frac{196}{296}$

• Find the Greatest Common Divisor (GCD) of $196$ and $296$. The GCD of $196$ and $296$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{196 \div 4}{296 \div 4} = \frac{49}{74}$

Answer $\frac{28}{74}\div\frac{4}{7} = \frac{49}{74}$

The following animation demonstrates the divide-by,