What is 46/34 Divided By 2/3

Solving $\frac{46}{34}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{34} \div \frac{2}{3} = \frac{46}{34} \times \frac{3}{2}$

• Multiply the Numerators: $46 \times 3 = 138$
• Multiply the Denominators: $34 \times 2 = 68$
• Form the New Fraction: $\frac{46}{34} \times \frac{2}{3} = \frac{138}{68}$

Let's Simplify $\frac{138}{68}$

• Find the Greatest Common Divisor (GCD) of $138$ and $68$. The GCD of $138$ and $68$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{138 \div 2}{68 \div 2} = \frac{69}{34}$

Answer $\frac{46}{34}\div\frac{2}{3} = \frac{69}{34}$

The following animation demonstrates the divide-by,