What is 81/45 Divided By 3/4

Solving $\frac{81}{45}\div\frac{3}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{45} \div \frac{3}{4} = \frac{81}{45} \times \frac{4}{3}$

• Multiply the Numerators: $81 \times 4 = 324$
• Multiply the Denominators: $45 \times 3 = 135$
• Form the New Fraction: $\frac{81}{45} \times \frac{3}{4} = \frac{324}{135}$

Let's Simplify $\frac{324}{135}$

• Find the Greatest Common Divisor (GCD) of $324$ and $135$. The GCD of $324$ and $135$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{324 \div 27}{135 \div 27} = \frac{12}{5}$

Answer $\frac{81}{45}\div\frac{3}{4} = \frac{12}{5}$

The following animation demonstrates the divide-by,