What is 27/35 Divided By 8/6

Solving $\frac{27}{35}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{35} \div \frac{8}{6} = \frac{27}{35} \times \frac{6}{8}$

• Multiply the Numerators: $27 \times 6 = 162$
• Multiply the Denominators: $35 \times 8 = 280$
• Form the New Fraction: $\frac{27}{35} \times \frac{8}{6} = \frac{162}{280}$

Let's Simplify $\frac{162}{280}$

• Find the Greatest Common Divisor (GCD) of $162$ and $280$. The GCD of $162$ and $280$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{162 \div 2}{280 \div 2} = \frac{81}{140}$

Answer $\frac{27}{35}\div\frac{8}{6} = \frac{81}{140}$

The following animation demonstrates the divide-by,