What is 28/70 Divided By 6/9

Solving $\frac{28}{70}\div\frac{6}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{70} \div \frac{6}{9} = \frac{28}{70} \times \frac{9}{6}$

• Multiply the Numerators: $28 \times 9 = 252$
• Multiply the Denominators: $70 \times 6 = 420$
• Form the New Fraction: $\frac{28}{70} \times \frac{6}{9} = \frac{252}{420}$

Let's Simplify $\frac{252}{420}$

• Find the Greatest Common Divisor (GCD) of $252$ and $420$. The GCD of $252$ and $420$ is $84$.
• Divide both the numerator and the denominator by the GCD:$\frac{252 \div 84}{420 \div 84} = \frac{3}{5}$

Answer $\frac{28}{70}\div\frac{6}{9} = \frac{3}{5}$

The following animation demonstrates the divide-by,