What is 42/75 Divided By 9/7

Solving $\frac{42}{75}\div\frac{9}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{75} \div \frac{9}{7} = \frac{42}{75} \times \frac{7}{9}$

• Multiply the Numerators: $42 \times 7 = 294$
• Multiply the Denominators: $75 \times 9 = 675$
• Form the New Fraction: $\frac{42}{75} \times \frac{9}{7} = \frac{294}{675}$

Let's Simplify $\frac{294}{675}$

• Find the Greatest Common Divisor (GCD) of $294$ and $675$. The GCD of $294$ and $675$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{294 \div 3}{675 \div 3} = \frac{98}{225}$

Answer $\frac{42}{75}\div\frac{9}{7} = \frac{98}{225}$

The following animation demonstrates the divide-by,