What is 54/76 Divided By 9/7

Solving $\frac{54}{76}\div\frac{9}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{76} \div \frac{9}{7} = \frac{54}{76} \times \frac{7}{9}$

• Multiply the Numerators: $54 \times 7 = 378$
• Multiply the Denominators: $76 \times 9 = 684$
• Form the New Fraction: $\frac{54}{76} \times \frac{9}{7} = \frac{378}{684}$

Let's Simplify $\frac{378}{684}$

• Find the Greatest Common Divisor (GCD) of $378$ and $684$. The GCD of $378$ and $684$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{378 \div 18}{684 \div 18} = \frac{21}{38}$

Answer $\frac{54}{76}\div\frac{9}{7} = \frac{21}{38}$

The following animation demonstrates the divide-by,