What is 35/42 Divided By 3/2

Solving $\frac{35}{42}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{42} \div \frac{3}{2} = \frac{35}{42} \times \frac{2}{3}$

• Multiply the Numerators: $35 \times 2 = 70$
• Multiply the Denominators: $42 \times 3 = 126$
• Form the New Fraction: $\frac{35}{42} \times \frac{3}{2} = \frac{70}{126}$

Let's Simplify $\frac{70}{126}$

• Find the Greatest Common Divisor (GCD) of $70$ and $126$. The GCD of $70$ and $126$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{70 \div 14}{126 \div 14} = \frac{5}{9}$

Answer $\frac{35}{42}\div\frac{3}{2} = \frac{5}{9}$

The following animation demonstrates the divide-by,