What is 45/54 Divided By 8/7

Solving $\frac{45}{54}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{54} \div \frac{8}{7} = \frac{45}{54} \times \frac{7}{8}$

• Multiply the Numerators: $45 \times 7 = 315$
• Multiply the Denominators: $54 \times 8 = 432$
• Form the New Fraction: $\frac{45}{54} \times \frac{8}{7} = \frac{315}{432}$

Let's Simplify $\frac{315}{432}$

• Find the Greatest Common Divisor (GCD) of $315$ and $432$. The GCD of $315$ and $432$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{315 \div 9}{432 \div 9} = \frac{35}{48}$

Answer $\frac{45}{54}\div\frac{8}{7} = \frac{35}{48}$

The following animation demonstrates the divide-by,