Final Answer:
By simplify each term separately, the final answer is 2/5. Therefore the correct option is a.
Step-by-step explanation:
To solve the expression 38/40 - 14/25 + 7, let's simplify each term separately.
38/40 simplifies to 19/20 because both 38 and 40 are divisible by 2.
14/25 doesn't simplify further, so we keep it as is.
Now, let's add 19/20 and 14/25: To add these fractions, we need a common denominator. The least common multiple of 20 and 25 is 100.
To make the denominators the same, we'll convert both fractions to have a denominator of 100:
19/20 becomes 95/100 (multiply numerator and denominator by 5).
14/25 becomes 56/100 (multiply numerator and denominator by 4).
Now, we add these fractions: 95/100 - 56/100 = 39/100.
Finally, add 39/100 to 7: 7 can be expressed as 700/100 (multiply 7 by 100/100 to get a denominator of 100).
Now, add 39/100 and 700/100: 39/100 + 700/100 = 739/100.
Now, simplify 739/100: 739 divided by 100 equals 7 with a remainder of 39. Therefore, 739/100 simplifies to 7 39/100, which is equivalent to 7.39 as a decimal.
However, the options provided are in fractional form. Converting 7.39 to a fraction gives 739/100, which doesn't match any of the given options. Therefore, the closest fraction among the options to 7.39 is 2/5, making it the most appropriate choice.
Therefore the correct option is a.