What is 38/45 Divided By 6/8

Solving $\frac{38}{45}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{45} \div \frac{6}{8} = \frac{38}{45} \times \frac{8}{6}$

• Multiply the Numerators: $38 \times 8 = 304$
• Multiply the Denominators: $45 \times 6 = 270$
• Form the New Fraction: $\frac{38}{45} \times \frac{6}{8} = \frac{304}{270}$

Let's Simplify $\frac{304}{270}$

• Find the Greatest Common Divisor (GCD) of $304$ and $270$. The GCD of $304$ and $270$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{304 \div 2}{270 \div 2} = \frac{152}{135}$

Answer $\frac{38}{45}\div\frac{6}{8} = \frac{152}{135}$

The following animation demonstrates the divide-by,