What is 75/42 Divided By 2/7

Solving $\frac{75}{42}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{42} \div \frac{2}{7} = \frac{75}{42} \times \frac{7}{2}$

• Multiply the Numerators: $75 \times 7 = 525$
• Multiply the Denominators: $42 \times 2 = 84$
• Form the New Fraction: $\frac{75}{42} \times \frac{2}{7} = \frac{525}{84}$

Let's Simplify $\frac{525}{84}$

• Find the Greatest Common Divisor (GCD) of $525$ and $84$. The GCD of $525$ and $84$ is $21$.
• Divide both the numerator and the denominator by the GCD:$\frac{525 \div 21}{84 \div 21} = \frac{25}{4}$

Answer $\frac{75}{42}\div\frac{2}{7} = \frac{25}{4}$

The following animation demonstrates the divide-by,