What is 28/35 Divided By 2/8

Solving $\frac{28}{35}\div\frac{2}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{35} \div \frac{2}{8} = \frac{28}{35} \times \frac{8}{2}$

• Multiply the Numerators: $28 \times 8 = 224$
• Multiply the Denominators: $35 \times 2 = 70$
• Form the New Fraction: $\frac{28}{35} \times \frac{2}{8} = \frac{224}{70}$

Let's Simplify $\frac{224}{70}$

• Find the Greatest Common Divisor (GCD) of $224$ and $70$. The GCD of $224$ and $70$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{224 \div 14}{70 \div 14} = \frac{16}{5}$

Answer $\frac{28}{35}\div\frac{2}{8} = \frac{16}{5}$

The following animation demonstrates the divide-by,