What is 27/85 Divided By 9/7

Solving $\frac{27}{85}\div\frac{9}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{85} \div \frac{9}{7} = \frac{27}{85} \times \frac{7}{9}$

• Multiply the Numerators: $27 \times 7 = 189$
• Multiply the Denominators: $85 \times 9 = 765$
• Form the New Fraction: $\frac{27}{85} \times \frac{9}{7} = \frac{189}{765}$

Let's Simplify $\frac{189}{765}$

• Find the Greatest Common Divisor (GCD) of $189$ and $765$. The GCD of $189$ and $765$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{189 \div 9}{765 \div 9} = \frac{21}{85}$

Answer $\frac{27}{85}\div\frac{9}{7} = \frac{21}{85}$

The following animation demonstrates the divide-by,