Final answer:
Mr. Mancuso planted a total of 1 7/12 acres on his land after adding up 1/3 acre of tomatoes, 3/4 acre of corn, and 1/2 acre of carrots.
Step-by-step explanation:
To determine how many acres Mr. Mancuso planted in total, we need to add up the acres used for each type of crop:
- Tomatoes: 1/3 acre
- Corn: 3/4 acre
- Carrots: 1/2 acre
The combined acreage is 1/3 + 3/4 + 1/2. To add these fractions, we need a common denominator, which is 12 in this case. Convert each fraction to have the denominator of 12:
- Tomatoes: 4/12 acre (multiplied the numerator and denominator of 1/3 by 4)
- Corn: 9/12 acre (multiplied the numerator and denominator of 3/4 by 3)
- Carrots: 6/12 acre (multiplied the numerator and denominator of 1/2 by 6)
Now add the fractions: 4/12 + 9/12 + 6/12 which equals 19/12 acres.
Since 19/12 is greater than 1, it is the same as 1 7/12 acres when expressed as a mixed number.
Therefore, Mr. Mancuso planted 1 7/12 acres in total.