What is 46/75 Divided By 5/3

Solving $\frac{46}{75}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{75} \div \frac{5}{3} = \frac{46}{75} \times \frac{3}{5}$

• Multiply the Numerators: $46 \times 3 = 138$
• Multiply the Denominators: $75 \times 5 = 375$
• Form the New Fraction: $\frac{46}{75} \times \frac{5}{3} = \frac{138}{375}$

Let's Simplify $\frac{138}{375}$

• Find the Greatest Common Divisor (GCD) of $138$ and $375$. The GCD of $138$ and $375$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{138 \div 3}{375 \div 3} = \frac{46}{125}$

Answer $\frac{46}{75}\div\frac{5}{3} = \frac{46}{125}$

The following animation demonstrates the divide-by,