What is 54/74 Divided By 5/7

Solving $\frac{54}{74}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{74} \div \frac{5}{7} = \frac{54}{74} \times \frac{7}{5}$

• Multiply the Numerators: $54 \times 7 = 378$
• Multiply the Denominators: $74 \times 5 = 370$
• Form the New Fraction: $\frac{54}{74} \times \frac{5}{7} = \frac{378}{370}$

Let's Simplify $\frac{378}{370}$

• Find the Greatest Common Divisor (GCD) of $378$ and $370$. The GCD of $378$ and $370$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{378 \div 2}{370 \div 2} = \frac{189}{185}$

Answer $\frac{54}{74}\div\frac{5}{7} = \frac{189}{185}$

The following animation demonstrates the divide-by,