What is 28/89 Divided By 7/6

Solving $\frac{28}{89}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{89} \div \frac{7}{6} = \frac{28}{89} \times \frac{6}{7}$

• Multiply the Numerators: $28 \times 6 = 168$
• Multiply the Denominators: $89 \times 7 = 623$
• Form the New Fraction: $\frac{28}{89} \times \frac{7}{6} = \frac{168}{623}$

Let's Simplify $\frac{168}{623}$

• Find the Greatest Common Divisor (GCD) of $168$ and $623$. The GCD of $168$ and $623$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 7}{623 \div 7} = \frac{24}{89}$

Answer $\frac{28}{89}\div\frac{7}{6} = \frac{24}{89}$

The following animation demonstrates the divide-by,