What is 46/76 Divided By 3/2

Solving $\frac{46}{76}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{76} \div \frac{3}{2} = \frac{46}{76} \times \frac{2}{3}$

• Multiply the Numerators: $46 \times 2 = 92$
• Multiply the Denominators: $76 \times 3 = 228$
• Form the New Fraction: $\frac{46}{76} \times \frac{3}{2} = \frac{92}{228}$

Let's Simplify $\frac{92}{228}$

• Find the Greatest Common Divisor (GCD) of $92$ and $228$. The GCD of $92$ and $228$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{92 \div 4}{228 \div 4} = \frac{23}{57}$

Answer $\frac{46}{76}\div\frac{3}{2} = \frac{23}{57}$

The following animation demonstrates the divide-by,