Question

(7 4/15+2 7/15)-3 8/15

Answer 1

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Answer 2

To solve the expression (7 4/15 + 2 7/15) - 3 8/15, we need to perform addition and subtraction of mixed numbers. Let's break it down step by step:

First, let's add the two mixed numbers within the parentheses: 7 4/15 + 2 7/15.

To add the whole numbers, we have 7 + 2 = 9.

For the fractions, we have 4/15 + 7/15. The denominators are the same, so we can add the numerators directly: 4 + 7 = 11.

Therefore, the sum of the two mixed numbers within the parentheses is 9 11/15.

Now, let's subtract 3 8/15 from 9 11/15.

To subtract the whole numbers, we have 9 - 3 = 6.

For the fractions, we have 11/15 - 8/15. Since the denominators are the same, we can subtract the numerators directly: 11 - 8 = 3.

Therefore, the difference of the two mixed numbers is 6 3/15.

Simplifying the fraction, we can reduce 3/15 to its lowest terms by dividing both the numerator and denominator by their greatest common divisor, which is 3. This gives us 1/5.

Hence, the final result is 6 1/5.