What is 45/27 Divided By 4/7

Solving $\frac{45}{27}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{27} \div \frac{4}{7} = \frac{45}{27} \times \frac{7}{4}$

• Multiply the Numerators: $45 \times 7 = 315$
• Multiply the Denominators: $27 \times 4 = 108$
• Form the New Fraction: $\frac{45}{27} \times \frac{4}{7} = \frac{315}{108}$

Let's Simplify $\frac{315}{108}$

• Find the Greatest Common Divisor (GCD) of $315$ and $108$. The GCD of $315$ and $108$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{315 \div 9}{108 \div 9} = \frac{35}{12}$

Answer $\frac{45}{27}\div\frac{4}{7} = \frac{35}{12}$

The following animation demonstrates the divide-by,