What is 35/48 Divided By 3/2

Solving $\frac{35}{48}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{48} \div \frac{3}{2} = \frac{35}{48} \times \frac{2}{3}$

• Multiply the Numerators: $35 \times 2 = 70$
• Multiply the Denominators: $48 \times 3 = 144$
• Form the New Fraction: $\frac{35}{48} \times \frac{3}{2} = \frac{70}{144}$

Let's Simplify $\frac{70}{144}$

• Find the Greatest Common Divisor (GCD) of $70$ and $144$. The GCD of $70$ and $144$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{70 \div 2}{144 \div 2} = \frac{35}{72}$

Answer $\frac{35}{48}\div\frac{3}{2} = \frac{35}{72}$

The following animation demonstrates the divide-by,