) Tim has a cedar plank that is 𝟏𝟏 𝟕 feet long. If he cuts four identical sections off the end of the plank, each

Question

𝟖
𝟏 𝟑 feet long, and no wood is wasted, how long will the remaining piece be? Write one expression that 𝟒
represents this situation and evaluate it to find the answer.

Answer 1

The remaining length of the plank can be found by subtracting the length of the four identical sections from the original length of the plank.

Expression: 11 7/8 - (4 * 8 1/3)

To simplify this expression, we need to convert the mixed fractions into improper fractions:

Expression: 11 7/8 - (4 * 25/3)

To multiply fractions, we multiply the numerators and then multiply the denominators:

Expression: 11 7/8 - (100/3)

To subtract fractions, we need a common denominator:

Expression: 11 7/8 - (100/3 * 8/8)

Now, we can multiply and subtract:

Expression: 11 7/8 - (800/24)

To subtract mixed fractions, we subtract the whole numbers separately and then subtract the fractions:

Expression: (11 - 800/24) + (7/8)

To simplify further, we convert the mixed fraction 11 to an improper fraction:

Expression: (264/24 - 800/24) + (7/8)

Now, we can subtract the fractions:

Expression: -536/24 + (7/8)

To add fractions, we need a common denominator:

Expression: (-536/24 * 8/8) + (7/8)

Expression: (-4288/24 + 7/8)

To add fractions, we add the numerators and keep the common denominator:

Expression: (-4288 + 21)/24

Expression: -4267/24

Therefore, the remaining piece of the plank will be 4267/24 feet long.