What is 26/70 Divided By 5/3

Solving $\frac{26}{70}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{70} \div \frac{5}{3} = \frac{26}{70} \times \frac{3}{5}$

• Multiply the Numerators: $26 \times 3 = 78$
• Multiply the Denominators: $70 \times 5 = 350$
• Form the New Fraction: $\frac{26}{70} \times \frac{5}{3} = \frac{78}{350}$

Let's Simplify $\frac{78}{350}$

• Find the Greatest Common Divisor (GCD) of $78$ and $350$. The GCD of $78$ and $350$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{78 \div 2}{350 \div 2} = \frac{39}{175}$

Answer $\frac{26}{70}\div\frac{5}{3} = \frac{39}{175}$

The following animation demonstrates the divide-by,