What is 45/46 Divided By 5/4

Solving $\frac{45}{46}\div\frac{5}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{46} \div \frac{5}{4} = \frac{45}{46} \times \frac{4}{5}$

• Multiply the Numerators: $45 \times 4 = 180$
• Multiply the Denominators: $46 \times 5 = 230$
• Form the New Fraction: $\frac{45}{46} \times \frac{5}{4} = \frac{180}{230}$

Let's Simplify $\frac{180}{230}$

• Find the Greatest Common Divisor (GCD) of $180$ and $230$. The GCD of $180$ and $230$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{180 \div 10}{230 \div 10} = \frac{18}{23}$

Answer $\frac{45}{46}\div\frac{5}{4} = \frac{18}{23}$

The following animation demonstrates the divide-by,