What is 46/53 Divided By 2/3

Solving $\frac{46}{53}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{53} \div \frac{2}{3} = \frac{46}{53} \times \frac{3}{2}$

• Multiply the Numerators: $46 \times 3 = 138$
• Multiply the Denominators: $53 \times 2 = 106$
• Form the New Fraction: $\frac{46}{53} \times \frac{2}{3} = \frac{138}{106}$

Let's Simplify $\frac{138}{106}$

• Find the Greatest Common Divisor (GCD) of $138$ and $106$. The GCD of $138$ and $106$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{138 \div 2}{106 \div 2} = \frac{69}{53}$

Answer $\frac{46}{53}\div\frac{2}{3} = \frac{69}{53}$

The following animation demonstrates the divide-by,