What is 45/70 Divided By 2/8

Solving $\frac{45}{70}\div\frac{2}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{70} \div \frac{2}{8} = \frac{45}{70} \times \frac{8}{2}$

• Multiply the Numerators: $45 \times 8 = 360$
• Multiply the Denominators: $70 \times 2 = 140$
• Form the New Fraction: $\frac{45}{70} \times \frac{2}{8} = \frac{360}{140}$

Let's Simplify $\frac{360}{140}$

• Find the Greatest Common Divisor (GCD) of $360$ and $140$. The GCD of $360$ and $140$ is $20$.
• Divide both the numerator and the denominator by the GCD:$\frac{360 \div 20}{140 \div 20} = \frac{18}{7}$

Answer $\frac{45}{70}\div\frac{2}{8} = \frac{18}{7}$

The following animation demonstrates the divide-by,