What is 53/46 Divided By 7/4

Solving $\frac{53}{46}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{46} \div \frac{7}{4} = \frac{53}{46} \times \frac{4}{7}$

• Multiply the Numerators: $53 \times 4 = 212$
• Multiply the Denominators: $46 \times 7 = 322$
• Form the New Fraction: $\frac{53}{46} \times \frac{7}{4} = \frac{212}{322}$

Let's Simplify $\frac{212}{322}$

• Find the Greatest Common Divisor (GCD) of $212$ and $322$. The GCD of $212$ and $322$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{212 \div 2}{322 \div 2} = \frac{106}{161}$

Answer $\frac{53}{46}\div\frac{7}{4} = \frac{106}{161}$

The following animation demonstrates the divide-by,