Fraction Subtraction Ffd52F

1. **Problem:** Compute $21. (+1/3) - (-1/3)$. 2. **Formula and rules:** Subtracting a negative number is the same as adding its positive. 3. **Work:** $$ (+1/3) - (-1/3) = (+1/3) + (+1/3) = \frac{1}{3} + \frac{1}{3} = \frac{1+1}{3} = \frac{2}{3} $$ 4. **Answer:** $\boxed{\frac{2}{3}}$ 1. **Problem:** Compute $22. -2/3 - (-2/5)$. 2. **Formula and rules:** Subtracting a negative is adding positive. 3. **Work:** $$ -\frac{2}{3} - (-\frac{2}{5}) = -\frac{2}{3} + \frac{2}{5} $$ Find common denominator $15$: $$ -\frac{2}{3} = -\frac{10}{15}, \quad \frac{2}{5} = \frac{6}{15} $$ $$ -\frac{10}{15} + \frac{6}{15} = \frac{-10+6}{15} = -\frac{4}{15} $$ 4. **Answer:** $\boxed{-\frac{4}{15}}$ 1. **Problem:** Compute $23. -(+3/7) - (-3/5)$. 2. **Formula and rules:** Negation and subtracting negative. 3. **Work:** $$ -(+\frac{3}{7}) - (-\frac{3}{5}) = -\frac{3}{7} + \frac{3}{5} $$ Common denominator $35$: $$ -\frac{3}{7} = -\frac{15}{35}, \quad \frac{3}{5} = \frac{21}{35} $$ $$ -\frac{15}{35} + \frac{21}{35} = \frac{-15+21}{35} = \frac{6}{35} $$ 4. **Answer:** $\boxed{\frac{6}{35}}$ 1. **Problem:** Compute $24. (+8/3) - (-6/11)$. 2. **Formula and rules:** Subtracting negative is adding positive. 3. **Work:** $$ \frac{8}{3} - (-\frac{6}{11}) = \frac{8}{3} + \frac{6}{11} $$ Common denominator $33$: $$ \frac{8}{3} = \frac{88}{33}, \quad \frac{6}{11} = \frac{18}{33} $$ $$ \frac{88}{33} + \frac{18}{33} = \frac{106}{33} $$ 4. **Answer:** $\boxed{\frac{106}{33}}$ 1. **Problem:** Compute $25. (-6) + (-7) - (+4)$. 2. **Formula and rules:** Addition and subtraction of integers. 3. **Work:** $$ -6 + (-7) - 4 = -6 -7 -4 = -(6+7+4) = -17 $$ 4. **Answer:** $\boxed{-17}$ 1. **Problem:** Compute $26. -15 + (-15) - (+15)$. 2. **Formula and rules:** Addition and subtraction of integers. 3. **Work:** $$ -15 + (-15) - 15 = -15 -15 -15 = -(15+15+15) = -45 $$ 4. **Answer:** $\boxed{-45}$ 1. **Problem:** Compute $27. 26 - (-3.8) - (+15.6)$. 2. **Formula and rules:** Subtracting negative is adding positive. 3. **Work:** $$ 26 - (-3.8) - 15.6 = 26 + 3.8 - 15.6 $$ $$ 26 + 3.8 = 29.8 $$ $$ 29.8 - 15.6 = 14.2 $$ 4. **Answer:** $\boxed{14.2}$