What is 27/45 Divided By 6/7

Solving $\frac{27}{45}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{45} \div \frac{6}{7} = \frac{27}{45} \times \frac{7}{6}$

• Multiply the Numerators: $27 \times 7 = 189$
• Multiply the Denominators: $45 \times 6 = 270$
• Form the New Fraction: $\frac{27}{45} \times \frac{6}{7} = \frac{189}{270}$

Let's Simplify $\frac{189}{270}$

• Find the Greatest Common Divisor (GCD) of $189$ and $270$. The GCD of $189$ and $270$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{189 \div 27}{270 \div 27} = \frac{7}{10}$

Answer $\frac{27}{45}\div\frac{6}{7} = \frac{7}{10}$

The following animation demonstrates the divide-by,