What is 38/76 Divided By 9/8

Solving $\frac{38}{76}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{76} \div \frac{9}{8} = \frac{38}{76} \times \frac{8}{9}$

• Multiply the Numerators: $38 \times 8 = 304$
• Multiply the Denominators: $76 \times 9 = 684$
• Form the New Fraction: $\frac{38}{76} \times \frac{9}{8} = \frac{304}{684}$

Let's Simplify $\frac{304}{684}$

• Find the Greatest Common Divisor (GCD) of $304$ and $684$. The GCD of $304$ and $684$ is $76$.
• Divide both the numerator and the denominator by the GCD:$\frac{304 \div 76}{684 \div 76} = \frac{4}{9}$

Answer $\frac{38}{76}\div\frac{9}{8} = \frac{4}{9}$

The following animation demonstrates the divide-by,