What is 99/27 Divided By 2/7

Solving $\frac{99}{27}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{99}{27} \div \frac{2}{7} = \frac{99}{27} \times \frac{7}{2}$

• Multiply the Numerators: $99 \times 7 = 693$
• Multiply the Denominators: $27 \times 2 = 54$
• Form the New Fraction: $\frac{99}{27} \times \frac{2}{7} = \frac{693}{54}$

Let's Simplify $\frac{693}{54}$

• Find the Greatest Common Divisor (GCD) of $693$ and $54$. The GCD of $693$ and $54$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{693 \div 9}{54 \div 9} = \frac{77}{6}$

Answer $\frac{99}{27}\div\frac{2}{7} = \frac{77}{6}$

The following animation demonstrates the divide-by,