What is 35/60 Divided By 7/2

Solving $\frac{35}{60}\div\frac{7}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{60} \div \frac{7}{2} = \frac{35}{60} \times \frac{2}{7}$

• Multiply the Numerators: $35 \times 2 = 70$
• Multiply the Denominators: $60 \times 7 = 420$
• Form the New Fraction: $\frac{35}{60} \times \frac{7}{2} = \frac{70}{420}$

Let's Simplify $\frac{70}{420}$

• Find the Greatest Common Divisor (GCD) of $70$ and $420$. The GCD of $70$ and $420$ is $70$.
• Divide both the numerator and the denominator by the GCD:$\frac{70 \div 70}{420 \div 70} = \frac{1}{6}$

Answer $\frac{35}{60}\div\frac{7}{2} = \frac{1}{6}$

The following animation demonstrates the divide-by,