What is 28/98 Divided By 6/7

Solving $\frac{28}{98}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{98} \div \frac{6}{7} = \frac{28}{98} \times \frac{7}{6}$

• Multiply the Numerators: $28 \times 7 = 196$
• Multiply the Denominators: $98 \times 6 = 588$
• Form the New Fraction: $\frac{28}{98} \times \frac{6}{7} = \frac{196}{588}$

Let's Simplify $\frac{196}{588}$

• Find the Greatest Common Divisor (GCD) of $196$ and $588$. The GCD of $196$ and $588$ is $196$.
• Divide both the numerator and the denominator by the GCD:$\frac{196 \div 196}{588 \div 196} = \frac{1}{3}$

Answer $\frac{28}{98}\div\frac{6}{7} = \frac{1}{3}$

The following animation demonstrates the divide-by,