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Add the following fractions and express the answer in the simplest form:a) 3/8 + 2/5

Question

Add the following fractions and express the answer in the simplest form:a) 3/8 + 2/5

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Solution

Step 1: Find the least common denominator (LCD) of the two fractions. The LCD of 8 and 5 is 40.

Step 2: Convert each fraction to an equivalent fraction with denominator 40.

For 3/8, multiply both the numerator and the denominator by 5 to get 15/40.

For 2/5, multiply both the numerator and the denominator by 8 to get 16/40.

Step 3: Add the two fractions now that they have the same denominator.

15/40 + 16/40 = 31/40

So, 3/8 + 2/5 = 31/40. This fraction cannot be simplified any further, so 31/40 is the final answer.

This problem has been solved

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