What is 46/26 Divided By 5/3

Solving $\frac{46}{26}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{26} \div \frac{5}{3} = \frac{46}{26} \times \frac{3}{5}$

• Multiply the Numerators: $46 \times 3 = 138$
• Multiply the Denominators: $26 \times 5 = 130$
• Form the New Fraction: $\frac{46}{26} \times \frac{5}{3} = \frac{138}{130}$

Let's Simplify $\frac{138}{130}$

• Find the Greatest Common Divisor (GCD) of $138$ and $130$. The GCD of $138$ and $130$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{138 \div 2}{130 \div 2} = \frac{69}{65}$

Answer $\frac{46}{26}\div\frac{5}{3} = \frac{69}{65}$

The following animation demonstrates the divide-by,