What is 53/74 Divided By 7/4

Solving $\frac{53}{74}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{74} \div \frac{7}{4} = \frac{53}{74} \times \frac{4}{7}$

• Multiply the Numerators: $53 \times 4 = 212$
• Multiply the Denominators: $74 \times 7 = 518$
• Form the New Fraction: $\frac{53}{74} \times \frac{7}{4} = \frac{212}{518}$

Let's Simplify $\frac{212}{518}$

• Find the Greatest Common Divisor (GCD) of $212$ and $518$. The GCD of $212$ and $518$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{212 \div 2}{518 \div 2} = \frac{106}{259}$

Answer $\frac{53}{74}\div\frac{7}{4} = \frac{106}{259}$

The following animation demonstrates the divide-by,