What is 45/27 Divided By 7/6

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,