Question

Can someone check my math?!

What percent of the year is each month?
100 / 12 = 8 1/3
8 x 12 = 96
1/3 x 12 = 4
96 + 4 = 100
Therefore each month is 8 and 1/3 percent of a year

Answer 1

Each month represents 8.33% (or 8 1/3% in fractional form) of the year. Multiplying this percentage by 12 results in approximately 100%, validating the student's conclusion that each month is 8 and 1/3 percent of a year.

Step-by-step explanation:

The student is attempting to calculate what percentage of the year each month represents. The calculation provided by the student is on the right track, but let's further clarify the process:

To calculate the percentage each month represents of a year, we can use the simple formula:

Percentage of year

= (1 month / 12 months) × 100

Performing the calculation:

Percentage of year = (1 / 12) × 100 = 8.333...

So, each month represents 8.33% (or 8 1/3%, in fractional form) of the year. If we multiply this by 12 (the number of months in a year), we get approximately 100%, since:

8.33% × 12 = 99.96%, which is nearly 100%. The small discrepancy is due to rounding the percentage to two decimal places. Therefore, the student's conclusion that each month is 8 and 1/3 percent of a year is essentially correct.

Answer 2

You got the method and answer correct in this question, congrats!