What is 45/48 Divided By 6/7

Solving $\frac{45}{48}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{48} \div \frac{6}{7} = \frac{45}{48} \times \frac{7}{6}$

• Multiply the Numerators: $45 \times 7 = 315$
• Multiply the Denominators: $48 \times 6 = 288$
• Form the New Fraction: $\frac{45}{48} \times \frac{6}{7} = \frac{315}{288}$

Let's Simplify $\frac{315}{288}$

• Find the Greatest Common Divisor (GCD) of $315$ and $288$. The GCD of $315$ and $288$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{315 \div 9}{288 \div 9} = \frac{35}{32}$

Answer $\frac{45}{48}\div\frac{6}{7} = \frac{35}{32}$

The following animation demonstrates the divide-by,