What is 70/42 Divided By 2/3

Solving $\frac{70}{42}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{42} \div \frac{2}{3} = \frac{70}{42} \times \frac{3}{2}$

• Multiply the Numerators: $70 \times 3 = 210$
• Multiply the Denominators: $42 \times 2 = 84$
• Form the New Fraction: $\frac{70}{42} \times \frac{2}{3} = \frac{210}{84}$

Let's Simplify $\frac{210}{84}$

• Find the Greatest Common Divisor (GCD) of $210$ and $84$. The GCD of $210$ and $84$ is $42$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 42}{84 \div 42} = \frac{5}{2}$

Answer $\frac{70}{42}\div\frac{2}{3} = \frac{5}{2}$

The following animation demonstrates the divide-by,