What is 98/39 Divided By 7/6

Solving $\frac{98}{39}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{98}{39} \div \frac{7}{6} = \frac{98}{39} \times \frac{6}{7}$

• Multiply the Numerators: $98 \times 6 = 588$
• Multiply the Denominators: $39 \times 7 = 273$
• Form the New Fraction: $\frac{98}{39} \times \frac{7}{6} = \frac{588}{273}$

Let's Simplify $\frac{588}{273}$

• Find the Greatest Common Divisor (GCD) of $588$ and $273$. The GCD of $588$ and $273$ is $21$.
• Divide both the numerator and the denominator by the GCD:$\frac{588 \div 21}{273 \div 21} = \frac{28}{13}$

Answer $\frac{98}{39}\div\frac{7}{6} = \frac{28}{13}$

The following animation demonstrates the divide-by,