What is 27/18 Divided By 1/7

Solving $\frac{27}{18}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{18} \div \frac{1}{7} = \frac{27}{18} \times \frac{7}{1}$

• Multiply the Numerators: $27 \times 7 = 189$
• Multiply the Denominators: $18 \times 1 = 18$
• Form the New Fraction: $\frac{27}{18} \times \frac{1}{7} = \frac{189}{18}$

Let's Simplify $\frac{189}{18}$

• Find the Greatest Common Divisor (GCD) of $189$ and $18$. The GCD of $189$ and $18$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{189 \div 9}{18 \div 9} = \frac{21}{2}$

Answer $\frac{27}{18}\div\frac{1}{7} = \frac{21}{2}$

The following animation demonstrates the divide-by,