What is 53/46 Divided By 3/2

Solving $\frac{53}{46}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{46} \div \frac{3}{2} = \frac{53}{46} \times \frac{2}{3}$

• Multiply the Numerators: $53 \times 2 = 106$
• Multiply the Denominators: $46 \times 3 = 138$
• Form the New Fraction: $\frac{53}{46} \times \frac{3}{2} = \frac{106}{138}$

Let's Simplify $\frac{106}{138}$

• Find the Greatest Common Divisor (GCD) of $106$ and $138$. The GCD of $106$ and $138$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{106 \div 2}{138 \div 2} = \frac{53}{69}$

Answer $\frac{53}{46}\div\frac{3}{2} = \frac{53}{69}$

The following animation demonstrates the divide-by,