What is 70/45 Divided By 2/6

Solving $\frac{70}{45}\div\frac{2}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{45} \div \frac{2}{6} = \frac{70}{45} \times \frac{6}{2}$

• Multiply the Numerators: $70 \times 6 = 420$
• Multiply the Denominators: $45 \times 2 = 90$
• Form the New Fraction: $\frac{70}{45} \times \frac{2}{6} = \frac{420}{90}$

Let's Simplify $\frac{420}{90}$

• Find the Greatest Common Divisor (GCD) of $420$ and $90$. The GCD of $420$ and $90$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{420 \div 30}{90 \div 30} = \frac{14}{3}$

Answer $\frac{70}{45}\div\frac{2}{6} = \frac{14}{3}$

The following animation demonstrates the divide-by,