What is 45/50 Divided By 6/7

Solving $\frac{45}{50}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{50} \div \frac{6}{7} = \frac{45}{50} \times \frac{7}{6}$

• Multiply the Numerators: $45 \times 7 = 315$
• Multiply the Denominators: $50 \times 6 = 300$
• Form the New Fraction: $\frac{45}{50} \times \frac{6}{7} = \frac{315}{300}$

Let's Simplify $\frac{315}{300}$

• Find the Greatest Common Divisor (GCD) of $315$ and $300$. The GCD of $315$ and $300$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{315 \div 15}{300 \div 15} = \frac{21}{20}$

Answer $\frac{45}{50}\div\frac{6}{7} = \frac{21}{20}$

The following animation demonstrates the divide-by,