Math Problem Statement

-7/5-(-2/5)

Solution

You are asked to simplify the expression:

75(25)-\frac{7}{5} - \left(-\frac{2}{5}\right)

Step 1: Handle the double negative

The expression has a double negative. Subtracting a negative is equivalent to adding a positive, so:

75+25-\frac{7}{5} + \frac{2}{5}

Step 2: Combine the fractions

Since the fractions have the same denominator, you can combine them:

7+25=55\frac{-7 + 2}{5} = \frac{-5}{5}

Step 3: Simplify

55=1\frac{-5}{5} = -1

Final Answer:

The simplified expression is:

1-1

Would you like more details, or do you have any other questions?

Here are 5 related questions for further practice:

  1. Simplify 8353\frac{8}{3} - \frac{5}{3}.
  2. Simplify 97(47)\frac{-9}{7} - \left(\frac{-4}{7}\right).
  3. Simplify 64+34\frac{-6}{4} + \frac{3}{4}.
  4. Simplify 2979\frac{2}{9} - \frac{-7}{9}.
  5. Simplify 5616\frac{5}{6} - \frac{-1}{6}.

Tip: When dealing with negative fractions, be cautious about handling signs correctly to avoid mistakes.

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Math Problem Analysis

Mathematical Concepts

Fractions
Negative numbers

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8