What is 42/95 Divided By 3/7

Solving $\frac{42}{95}\div\frac{3}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{95} \div \frac{3}{7} = \frac{42}{95} \times \frac{7}{3}$

• Multiply the Numerators: $42 \times 7 = 294$
• Multiply the Denominators: $95 \times 3 = 285$
• Form the New Fraction: $\frac{42}{95} \times \frac{3}{7} = \frac{294}{285}$

Let's Simplify $\frac{294}{285}$

• Find the Greatest Common Divisor (GCD) of $294$ and $285$. The GCD of $294$ and $285$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{294 \div 3}{285 \div 3} = \frac{98}{95}$

Answer $\frac{42}{95}\div\frac{3}{7} = \frac{98}{95}$

The following animation demonstrates the divide-by,