What is 46/45 Divided By 2/6

Solving $\frac{46}{45}\div\frac{2}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{45} \div \frac{2}{6} = \frac{46}{45} \times \frac{6}{2}$

• Multiply the Numerators: $46 \times 6 = 276$
• Multiply the Denominators: $45 \times 2 = 90$
• Form the New Fraction: $\frac{46}{45} \times \frac{2}{6} = \frac{276}{90}$

Let's Simplify $\frac{276}{90}$

• Find the Greatest Common Divisor (GCD) of $276$ and $90$. The GCD of $276$ and $90$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{276 \div 6}{90 \div 6} = \frac{46}{15}$

Answer $\frac{46}{45}\div\frac{2}{6} = \frac{46}{15}$

The following animation demonstrates the divide-by,