What is 28/70 Divided By 3/8

Solving $\frac{28}{70}\div\frac{3}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{70} \div \frac{3}{8} = \frac{28}{70} \times \frac{8}{3}$

• Multiply the Numerators: $28 \times 8 = 224$
• Multiply the Denominators: $70 \times 3 = 210$
• Form the New Fraction: $\frac{28}{70} \times \frac{3}{8} = \frac{224}{210}$

Let's Simplify $\frac{224}{210}$

• Find the Greatest Common Divisor (GCD) of $224$ and $210$. The GCD of $224$ and $210$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{224 \div 14}{210 \div 14} = \frac{16}{15}$

Answer $\frac{28}{70}\div\frac{3}{8} = \frac{16}{15}$

The following animation demonstrates the divide-by,