Question 11

3/5 + 3/8 = 0.975

To add the fractions 3/5 and 3/8, we first find a common denominator, which is 40. Converting both fractions gives us 24/40 and 15/40, respectively. Adding these together results in 39/40, which is equivalent to 0.975.

A) 0.225

This option is incorrect as it does not represent the sum of the two fractions. The correct calculations yield a value much higher than 0.225, indicating a significant miscalculation.

B) 0.875

This option is also incorrect. While 0.875 is a plausible decimal, it does not accurately reflect the sum of 3/5 and 3/8. The actual sum, when calculated correctly, exceeds this value.

C) 0.975

This option is correct. The addition of 3/5 and 3/8 results in 39/40, which converts to 0.975. This confirms that the arithmetic performed is accurate and the representation in decimal form is precise.

D) 1.225

This option is incorrect as well. The sum of the two fractions does not exceed 1, and 1.225 is significantly higher than the actual result of 0.975. This indicates a misunderstanding of the addition of fractions.

Conclusion

The correct answer, 0.975, accurately reflects the sum of 3/5 and 3/8 when properly calculated. All other options, ranging from significantly low to incorrectly high values, fail to represent the correct arithmetic outcome, confirming that 0.975 is indeed the only valid answer.