What is 63/70 Divided By 3/2

Solving $\frac{63}{70}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{63}{70} \div \frac{3}{2} = \frac{63}{70} \times \frac{2}{3}$

• Multiply the Numerators: $63 \times 2 = 126$
• Multiply the Denominators: $70 \times 3 = 210$
• Form the New Fraction: $\frac{63}{70} \times \frac{3}{2} = \frac{126}{210}$

Let's Simplify $\frac{126}{210}$

• Find the Greatest Common Divisor (GCD) of $126$ and $210$. The GCD of $126$ and $210$ is $42$.
• Divide both the numerator and the denominator by the GCD:$\frac{126 \div 42}{210 \div 42} = \frac{3}{5}$

Answer $\frac{63}{70}\div\frac{3}{2} = \frac{3}{5}$

The following animation demonstrates the divide-by,