What is 46/74 Divided By 5/9

Solving $\frac{46}{74}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{74} \div \frac{5}{9} = \frac{46}{74} \times \frac{9}{5}$

• Multiply the Numerators: $46 \times 9 = 414$
• Multiply the Denominators: $74 \times 5 = 370$
• Form the New Fraction: $\frac{46}{74} \times \frac{5}{9} = \frac{414}{370}$

Let's Simplify $\frac{414}{370}$

• Find the Greatest Common Divisor (GCD) of $414$ and $370$. The GCD of $414$ and $370$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{414 \div 2}{370 \div 2} = \frac{207}{185}$

Answer $\frac{46}{74}\div\frac{5}{9} = \frac{207}{185}$

The following animation demonstrates the divide-by,