What is 42/35 Divided By 2/3

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,