Answer:
-71/15
Step-by-step explanation:
Order of operations rules require that we do any work enclosed in parentheses first. Thus, we must evaluate -13÷3/5. Multiplication and division can be done in either order, but for the sake of consistency, move from left to right:
-13÷3 comes out to -13/3. Divide this result by 5, obtaining -13/15.
Then the original expression, −29−(−13÷3/5), becomes -29-(-13/15), or
-29 + 13/15.
Since -29 is negative and + 13/15 is positive, we must add 13/15 to -29:
-29
+13/15
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This is easily done if we rewrite -29 as -28 - 15/15.
Then we have:
-28 - 15/15 +13/15, which simplifies to -28 - 2/15, or -28 2/15.
As a single fraction, that would be -71/15.
