Question

4 2/3-(-2 8/15) - (-2 3/5)

Answer 1

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Answer 2

To solve the expression, we'll follow these steps:

1. Convert mixed numbers to improper fractions.
2. Distribute the negative sign through the parentheses.
3. Subtract the fractions.
4. Add or subtract the whole numbers.

Let's do it step by step:

1. Convert mixed numbers to improper fractions:

   $4 \frac{2}{3}$ as an improper fraction is $\frac{14}{3}$.

   $-2 \frac{8}{15}$ as an improper fraction is $\frac{-38}{15}$.

   $-2 \frac{3}{5}$ as an improper fraction is $\frac{-13}{5}$.

2. Distribute the negative sign:

   $\frac{14}{3} + \frac{38}{15} - \frac{13}{5}$.

3. Find a common denominator:

   The common denominator for 3, 15, and 5 is 15.

   So, we rewrite the fractions:

   $\frac{70}{15} + \frac{76}{15} - \frac{39}{15}$.

4. Add and subtract the fractions:

   $\frac{70 + 76 - 39}{15} = \frac{107}{15}$.

Now, we can express the result as a mixed number:

$7 \frac{2}{15}$.

So, $4 \frac{2}{3} - (-2 \frac{8}{15}) - (-2 \frac{3}{5}) = 7 \frac{2}{15}$.