Question
5. Find the sum or difference. a. (1)/(5)+(2)/(5) b (9)/(10)-(6)/(10) C. (7)/(8)-(4)/(8) d. (5)/(15)+(8)/(15) e. (68)/(100)-(18)/(100)
Solution
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GiannaVeteran · Tutor for 12 years
Answer
### a. $\frac{3}{5}$<br />### b. $\frac{3}{10}$<br />### c. $\frac{3}{8}$<br />### d. $\frac{13}{15}$<br />### e. $\frac{1}{2}$
Explain
## Step 1: Adding Fractions with Common Denominators (a)<br />### To add fractions with the same denominator, add the numerators and keep the denominator the same. $\frac{1}{5} + \frac{2}{5} = \frac{1+2}{5} = \frac{3}{5}$<br /><br />## Step 2: Subtracting Fractions with Common Denominators (b)<br />### To subtract fractions with the same denominator, subtract the numerators and keep the denominator the same. $\frac{9}{10} - \frac{6}{10} = \frac{9-6}{10} = \frac{3}{10}$<br /><br />## Step 3: Subtracting Fractions with Common Denominators (c)<br />### Similar to (b), subtract the numerators and keep the denominator. $\frac{7}{8} - \frac{4}{8} = \frac{7-4}{8} = \frac{3}{8}$<br /><br />## Step 4: Adding Fractions with Common Denominators (d)<br />### Similar to (a), add the numerators and keep the denominator. $\frac{5}{15} + \frac{8}{15} = \frac{5+8}{15} = \frac{13}{15}$<br /><br />## Step 5: Subtracting Fractions with Common Denominators (e)<br />### Similar to (b), subtract the numerators and keep the denominator. $\frac{68}{100} - \frac{18}{100} = \frac{68-18}{100} = \frac{50}{100} = \frac{1}{2}$ (Simplified)
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