What is 45/70 Divided By 3/5

Solving $\frac{45}{70}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{70} \div \frac{3}{5} = \frac{45}{70} \times \frac{5}{3}$

• Multiply the Numerators: $45 \times 5 = 225$
• Multiply the Denominators: $70 \times 3 = 210$
• Form the New Fraction: $\frac{45}{70} \times \frac{3}{5} = \frac{225}{210}$

Let's Simplify $\frac{225}{210}$

• Find the Greatest Common Divisor (GCD) of $225$ and $210$. The GCD of $225$ and $210$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{225 \div 15}{210 \div 15} = \frac{15}{14}$

Answer $\frac{45}{70}\div\frac{3}{5} = \frac{15}{14}$

The following animation demonstrates the divide-by,