What is the sum of 1/4 and 2/5?

Study for the Pharmacy Technician Certification Board Math Exam. Prepare with flashcards and multiple choice questions, each question includes hints and explanations. Excel in your exam!

To find the sum of two fractions, you first need to express them with a common denominator. The fractions given are 1/4 and 2/5.

The denominators are 4 and 5. The least common multiple (LCM) of 4 and 5 is 20.

Next, you will convert each fraction to have this common denominator of 20.

For 1/4, you multiply both the numerator and the denominator by 5:

1/4 = (1 × 5) / (4 × 5) = 5/20.

For 2/5, you multiply both the numerator and the denominator by 4:

2/5 = (2 × 4) / (5 × 4) = 8/20.

Now that both fractions have the same denominator, you can add them together:

5/20 + 8/20 = (5 + 8) / 20 = 13/20.

Thus, the correct answer is indeed 13/20, as it represents the combined value of 1/4 and 2/5 when expressed with a common denominator. This demonstrates the correct method for adding fractions, which involves finding a common

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