Question

Difficulty: EasyPercentage Calculations

Read the scenario and fill in the blank with the correct numeric value.

Answer:A recruit is on a 1212-mile training march. If the recruit has completed 75%75\% of the total distance, they have marched 【9】 miles.

Answer

9
To find 75%75\% of a 1212-mile march, convert the percentage into a decimal (0.750.75) or a simplified fraction (34\frac{3}{4}). Multiplying the total distance of 1212 miles by 34\frac{3}{4} yields 99 miles. Therefore, the recruit has completed 99 miles of the march.

Step-by-Step Solution

1
Identify the total distance and the percentage of the distance completed.
The total distance is 1212 miles, and the percentage completed is 75%75\%.
To calculate the distance completed, the whole amount and the percentage rate must be identified.
2
Convert the percentage to a fraction or a decimal.
75%=75100=3475\% = \frac{75}{100} = \frac{3}{4}, or 0.750.75.
Percentages must be converted into standard numerical forms to perform arithmetic operations.
3
Multiply the total distance by the fraction or decimal.
12×34=912 \times \frac{3}{4} = 9, or 12×0.75=912 \times 0.75 = 9.
Finding a percentage of a number requires multiplying the total by the percentage rate.

Key Concept

Calculating a percentage of a whole number.
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