What is 27/28 Divided By 2/7

Solving $\frac{27}{28}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{28} \div \frac{2}{7} = \frac{27}{28} \times \frac{7}{2}$

• Multiply the Numerators: $27 \times 7 = 189$
• Multiply the Denominators: $28 \times 2 = 56$
• Form the New Fraction: $\frac{27}{28} \times \frac{2}{7} = \frac{189}{56}$

Let's Simplify $\frac{189}{56}$

• Find the Greatest Common Divisor (GCD) of $189$ and $56$. The GCD of $189$ and $56$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{189 \div 7}{56 \div 7} = \frac{27}{8}$

Answer $\frac{27}{28}\div\frac{2}{7} = \frac{27}{8}$

The following animation demonstrates the divide-by,