What is 39/70 Divided By 3/5

Solving $\frac{39}{70}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{70} \div \frac{3}{5} = \frac{39}{70} \times \frac{5}{3}$

• Multiply the Numerators: $39 \times 5 = 195$
• Multiply the Denominators: $70 \times 3 = 210$
• Form the New Fraction: $\frac{39}{70} \times \frac{3}{5} = \frac{195}{210}$

Let's Simplify $\frac{195}{210}$

• Find the Greatest Common Divisor (GCD) of $195$ and $210$. The GCD of $195$ and $210$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{195 \div 15}{210 \div 15} = \frac{13}{14}$

Answer $\frac{39}{70}\div\frac{3}{5} = \frac{13}{14}$

The following animation demonstrates the divide-by,