Question 35

1/4 + 3/8 = 5/8

To solve the equation 1/4 + 3/8, we first need a common denominator. The least common multiple of 4 and 8 is 8. Thus, 1/4 can be converted to 2/8, and when summed with 3/8, the result is 5/8.

A) 5/8

This option is correct because converting 1/4 to a fraction with a denominator of 8 gives us 2/8. Adding this to 3/8 results in 5/8, which accurately represents the sum of the two fractions.

B) 1/2

This option is incorrect because 1/2 is equivalent to 4/8, which does not match the correct sum of 5/8. The calculation of 1/4 + 3/8 clearly shows that the total exceeds 1/2.

C) 4/12

This option is incorrect as well. When simplified, 4/12 reduces to 1/3, which is not equivalent to the correct sum of 5/8. Additionally, the calculation does not support this fraction as a valid outcome of the addition.

D) 1/3

This option is also incorrect. The fraction 1/3 is approximately 0.333, which is less than both 1/4 and 3/8. Thus, it cannot be the result of their sum, which we have established as 5/8.

Conclusion

The correct answer is 5/8, as derived from the addition of 1/4 and 3/8 when converted to a common denominator. All other options fail to represent the correct sum, either by providing incorrect equivalents or values that do not align with the calculated result.