What is 38/75 Divided By 6/7

Solving $\frac{38}{75}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{75} \div \frac{6}{7} = \frac{38}{75} \times \frac{7}{6}$

• Multiply the Numerators: $38 \times 7 = 266$
• Multiply the Denominators: $75 \times 6 = 450$
• Form the New Fraction: $\frac{38}{75} \times \frac{6}{7} = \frac{266}{450}$

Let's Simplify $\frac{266}{450}$

• Find the Greatest Common Divisor (GCD) of $266$ and $450$. The GCD of $266$ and $450$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{266 \div 2}{450 \div 2} = \frac{133}{225}$

Answer $\frac{38}{75}\div\frac{6}{7} = \frac{133}{225}$

The following animation demonstrates the divide-by,