What is 45/46 Divided By 6/7

Solving $\frac{45}{46}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{46} \div \frac{6}{7} = \frac{45}{46} \times \frac{7}{6}$

• Multiply the Numerators: $45 \times 7 = 315$
• Multiply the Denominators: $46 \times 6 = 276$
• Form the New Fraction: $\frac{45}{46} \times \frac{6}{7} = \frac{315}{276}$

Let's Simplify $\frac{315}{276}$

• Find the Greatest Common Divisor (GCD) of $315$ and $276$. The GCD of $315$ and $276$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{315 \div 3}{276 \div 3} = \frac{105}{92}$

Answer $\frac{45}{46}\div\frac{6}{7} = \frac{105}{92}$

The following animation demonstrates the divide-by,