What is 35/61 Divided By 7/6

Solving $\frac{35}{61}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{61} \div \frac{7}{6} = \frac{35}{61} \times \frac{6}{7}$

• Multiply the Numerators: $35 \times 6 = 210$
• Multiply the Denominators: $61 \times 7 = 427$
• Form the New Fraction: $\frac{35}{61} \times \frac{7}{6} = \frac{210}{427}$

Let's Simplify $\frac{210}{427}$

• Find the Greatest Common Divisor (GCD) of $210$ and $427$. The GCD of $210$ and $427$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 7}{427 \div 7} = \frac{30}{61}$

Answer $\frac{35}{61}\div\frac{7}{6} = \frac{30}{61}$

The following animation demonstrates the divide-by,