What is 28/27 Divided By 7/2

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,