What is 38/45 Divided By 6/5

Solving $\frac{38}{45}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{45} \div \frac{6}{5} = \frac{38}{45} \times \frac{5}{6}$

• Multiply the Numerators: $38 \times 5 = 190$
• Multiply the Denominators: $45 \times 6 = 270$
• Form the New Fraction: $\frac{38}{45} \times \frac{6}{5} = \frac{190}{270}$

Let's Simplify $\frac{190}{270}$

• Find the Greatest Common Divisor (GCD) of $190$ and $270$. The GCD of $190$ and $270$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{190 \div 10}{270 \div 10} = \frac{19}{27}$

Answer $\frac{38}{45}\div\frac{6}{5} = \frac{19}{27}$

The following animation demonstrates the divide-by,