What is 28/85 Divided By 6/4

Solving $\frac{28}{85}\div\frac{6}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{85} \div \frac{6}{4} = \frac{28}{85} \times \frac{4}{6}$

• Multiply the Numerators: $28 \times 4 = 112$
• Multiply the Denominators: $85 \times 6 = 510$
• Form the New Fraction: $\frac{28}{85} \times \frac{6}{4} = \frac{112}{510}$

Let's Simplify $\frac{112}{510}$

• Find the Greatest Common Divisor (GCD) of $112$ and $510$. The GCD of $112$ and $510$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{112 \div 2}{510 \div 2} = \frac{56}{255}$

Answer $\frac{28}{85}\div\frac{6}{4} = \frac{56}{255}$

The following animation demonstrates the divide-by,