What is 45/54 Divided By 4/7

Solving $\frac{45}{54}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{54} \div \frac{4}{7} = \frac{45}{54} \times \frac{7}{4}$

• Multiply the Numerators: $45 \times 7 = 315$
• Multiply the Denominators: $54 \times 4 = 216$
• Form the New Fraction: $\frac{45}{54} \times \frac{4}{7} = \frac{315}{216}$

Let's Simplify $\frac{315}{216}$

• Find the Greatest Common Divisor (GCD) of $315$ and $216$. The GCD of $315$ and $216$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{315 \div 9}{216 \div 9} = \frac{35}{24}$

Answer $\frac{45}{54}\div\frac{4}{7} = \frac{35}{24}$

The following animation demonstrates the divide-by,