What is 46/89 Divided By 2/3

Solving $\frac{46}{89}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{89} \div \frac{2}{3} = \frac{46}{89} \times \frac{3}{2}$

• Multiply the Numerators: $46 \times 3 = 138$
• Multiply the Denominators: $89 \times 2 = 178$
• Form the New Fraction: $\frac{46}{89} \times \frac{2}{3} = \frac{138}{178}$

Let's Simplify $\frac{138}{178}$

• Find the Greatest Common Divisor (GCD) of $138$ and $178$. The GCD of $138$ and $178$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{138 \div 2}{178 \div 2} = \frac{69}{89}$

Answer $\frac{46}{89}\div\frac{2}{3} = \frac{69}{89}$

The following animation demonstrates the divide-by,