What is 35/72 Divided By 2/6

Solving $\frac{35}{72}\div\frac{2}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{72} \div \frac{2}{6} = \frac{35}{72} \times \frac{6}{2}$

• Multiply the Numerators: $35 \times 6 = 210$
• Multiply the Denominators: $72 \times 2 = 144$
• Form the New Fraction: $\frac{35}{72} \times \frac{2}{6} = \frac{210}{144}$

Let's Simplify $\frac{210}{144}$

• Find the Greatest Common Divisor (GCD) of $210$ and $144$. The GCD of $210$ and $144$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 6}{144 \div 6} = \frac{35}{24}$

Answer $\frac{35}{72}\div\frac{2}{6} = \frac{35}{24}$

The following animation demonstrates the divide-by,