What is 38/45 Divided By 7/6

Solving $\frac{38}{45}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{45} \div \frac{7}{6} = \frac{38}{45} \times \frac{6}{7}$

• Multiply the Numerators: $38 \times 6 = 228$
• Multiply the Denominators: $45 \times 7 = 315$
• Form the New Fraction: $\frac{38}{45} \times \frac{7}{6} = \frac{228}{315}$

Let's Simplify $\frac{228}{315}$

• Find the Greatest Common Divisor (GCD) of $228$ and $315$. The GCD of $228$ and $315$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{228 \div 3}{315 \div 3} = \frac{76}{105}$

Answer $\frac{38}{45}\div\frac{7}{6} = \frac{76}{105}$

The following animation demonstrates the divide-by,