What is 35/98 Divided By 6/7

Solving $\frac{35}{98}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{98} \div \frac{6}{7} = \frac{35}{98} \times \frac{7}{6}$

• Multiply the Numerators: $35 \times 7 = 245$
• Multiply the Denominators: $98 \times 6 = 588$
• Form the New Fraction: $\frac{35}{98} \times \frac{6}{7} = \frac{245}{588}$

Let's Simplify $\frac{245}{588}$

• Find the Greatest Common Divisor (GCD) of $245$ and $588$. The GCD of $245$ and $588$ is $49$.
• Divide both the numerator and the denominator by the GCD:$\frac{245 \div 49}{588 \div 49} = \frac{5}{12}$

Answer $\frac{35}{98}\div\frac{6}{7} = \frac{5}{12}$

The following animation demonstrates the divide-by,