What is 70/26 Divided By 3/8

Solving $\frac{70}{26}\div\frac{3}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{26} \div \frac{3}{8} = \frac{70}{26} \times \frac{8}{3}$

• Multiply the Numerators: $70 \times 8 = 560$
• Multiply the Denominators: $26 \times 3 = 78$
• Form the New Fraction: $\frac{70}{26} \times \frac{3}{8} = \frac{560}{78}$

Let's Simplify $\frac{560}{78}$

• Find the Greatest Common Divisor (GCD) of $560$ and $78$. The GCD of $560$ and $78$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{560 \div 2}{78 \div 2} = \frac{280}{39}$

Answer $\frac{70}{26}\div\frac{3}{8} = \frac{280}{39}$

The following animation demonstrates the divide-by,