What is 70/75 Divided By 2/5

Solving $\frac{70}{75}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{75} \div \frac{2}{5} = \frac{70}{75} \times \frac{5}{2}$

• Multiply the Numerators: $70 \times 5 = 350$
• Multiply the Denominators: $75 \times 2 = 150$
• Form the New Fraction: $\frac{70}{75} \times \frac{2}{5} = \frac{350}{150}$

Let's Simplify $\frac{350}{150}$

• Find the Greatest Common Divisor (GCD) of $350$ and $150$. The GCD of $350$ and $150$ is $50$.
• Divide both the numerator and the denominator by the GCD:$\frac{350 \div 50}{150 \div 50} = \frac{7}{3}$

Answer $\frac{70}{75}\div\frac{2}{5} = \frac{7}{3}$

The following animation demonstrates the divide-by,