What is 42/81 Divided By 4/7

Solving $\frac{42}{81}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{81} \div \frac{4}{7} = \frac{42}{81} \times \frac{7}{4}$

• Multiply the Numerators: $42 \times 7 = 294$
• Multiply the Denominators: $81 \times 4 = 324$
• Form the New Fraction: $\frac{42}{81} \times \frac{4}{7} = \frac{294}{324}$

Let's Simplify $\frac{294}{324}$

• Find the Greatest Common Divisor (GCD) of $294$ and $324$. The GCD of $294$ and $324$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{294 \div 6}{324 \div 6} = \frac{49}{54}$

Answer $\frac{42}{81}\div\frac{4}{7} = \frac{49}{54}$

The following animation demonstrates the divide-by,