What is 24/70 Divided By 6/8

Solving $\frac{24}{70}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{70} \div \frac{6}{8} = \frac{24}{70} \times \frac{8}{6}$

• Multiply the Numerators: $24 \times 8 = 192$
• Multiply the Denominators: $70 \times 6 = 420$
• Form the New Fraction: $\frac{24}{70} \times \frac{6}{8} = \frac{192}{420}$

Let's Simplify $\frac{192}{420}$

• Find the Greatest Common Divisor (GCD) of $192$ and $420$. The GCD of $192$ and $420$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{192 \div 12}{420 \div 12} = \frac{16}{35}$

Answer $\frac{24}{70}\div\frac{6}{8} = \frac{16}{35}$

The following animation demonstrates the divide-by,