Question

How do I calculate the total height of four stacked suitcases, each 14 1/6 inches tall?

Answer 1

To calculate the total height of four stacked suitcases, each 14 1/6 inches tall, you can follow these steps:

1. Convert the mixed number \(14 \frac{1}{6}\) into an improper fraction:
\[
14 \frac{1}{6} = \frac{14 \times 6 + 1}{6} = \frac{84 + 1}{6} = \frac{85}{6}
\]

2. Multiply the height of one suitcase by the number of suitcases:
\[
\text{Total height} = 4 \times \frac{85}{6}
\]

3. Perform the multiplication:
\[
4 \times \frac{85}{6} = \frac{4 \times 85}{6} = \frac{340}{6}
\]

4. Simplify the fraction:
\[
\frac{340 \div 2}{6 \div 2} = \frac{170}{3}
\]

5. Convert \(\frac{170}{3}\) back into a mixed number:
- Divide \(170\) by \(3\):
\[
170 \div 3 = 56 \quad \text{(whole number part)}
\]
\[
\text{Remainder} = 170 - (56 \times 3) = 170 - 168 = 2
\]
- Therefore, \(\frac{170}{3} = 56 \frac{2}{3}\).

So, the total height of the four stacked suitcases is \(56 \frac{2}{3}\) inches.