What is 28/98 Divided By 6/5

Solving $\frac{28}{98}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{98} \div \frac{6}{5} = \frac{28}{98} \times \frac{5}{6}$

• Multiply the Numerators: $28 \times 5 = 140$
• Multiply the Denominators: $98 \times 6 = 588$
• Form the New Fraction: $\frac{28}{98} \times \frac{6}{5} = \frac{140}{588}$

Let's Simplify $\frac{140}{588}$

• Find the Greatest Common Divisor (GCD) of $140$ and $588$. The GCD of $140$ and $588$ is $28$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 28}{588 \div 28} = \frac{5}{21}$

Answer $\frac{28}{98}\div\frac{6}{5} = \frac{5}{21}$

The following animation demonstrates the divide-by,