What is 46/45 Divided By 2/5

Solving $\frac{46}{45}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{45} \div \frac{2}{5} = \frac{46}{45} \times \frac{5}{2}$

• Multiply the Numerators: $46 \times 5 = 230$
• Multiply the Denominators: $45 \times 2 = 90$
• Form the New Fraction: $\frac{46}{45} \times \frac{2}{5} = \frac{230}{90}$

Let's Simplify $\frac{230}{90}$

• Find the Greatest Common Divisor (GCD) of $230$ and $90$. The GCD of $230$ and $90$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{230 \div 10}{90 \div 10} = \frac{23}{9}$

Answer $\frac{46}{45}\div\frac{2}{5} = \frac{23}{9}$

The following animation demonstrates the divide-by,