What is 42/76 Divided By 9/7

Solving $\frac{42}{76}\div\frac{9}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{76} \div \frac{9}{7} = \frac{42}{76} \times \frac{7}{9}$

• Multiply the Numerators: $42 \times 7 = 294$
• Multiply the Denominators: $76 \times 9 = 684$
• Form the New Fraction: $\frac{42}{76} \times \frac{9}{7} = \frac{294}{684}$

Let's Simplify $\frac{294}{684}$

• Find the Greatest Common Divisor (GCD) of $294$ and $684$. The GCD of $294$ and $684$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{294 \div 6}{684 \div 6} = \frac{49}{114}$

Answer $\frac{42}{76}\div\frac{9}{7} = \frac{49}{114}$

The following animation demonstrates the divide-by,