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Add the following fractions. Express your answer to simplest form or lowest term, if needed.
1). 4/10 +1/5
2). 1/7+1/4
3). 2/9+6/9
4). 2/5+3/8
5)1/2+2/5
6.) 2/7 + 1/2
7). 2/5+5/10
8)2/6+1/2
9)2/6+1/2
10)2/10+1/2

Sagot :

DubuChewyidn

Add the following fractions. Express your answer to simplest form or lowest term, if needed.

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1). 4/10 +1/5

[tex]\[ \text{Step 1: Find a common denominator : } \\ \frac{4}{10} + \frac{2}{10} = \frac{6}{10} \] \\ \[ \text{Step 2: Simplify } \frac{6}{10} \text{ to lowest term: } \frac{}{} \] \[ \boxed{\color{brown} \mathrm{\frac{3}{5}}} \][/tex]

2). 1/7+1/4

[tex]\[ \text{Step 1: Find a common denominator : } \\ \frac{4}{28} + \frac{7}{28} = \frac{}{} \] \[ \boxed{\color{brown} \mathrm{\frac{11}{28}}} \][/tex]

3). 2/9+6/9

[tex]\[ \text{Step 1: Common denominator is 9: } \\ \frac{2}{9} + \frac{6}{9} = \frac{}{} \] \[ \boxed{\color{brown} \mathrm{\frac{8}{9}}} \] [/tex]

4). 2/5+3/8

[tex]\[ \text{Step 1: Find a common denominator (40): } \\ \frac{16}{40} + \frac{15}{40} = \frac{}{} \] \[ \boxed{\color{brown} \mathrm{\frac{31}{40}}} \][/tex]

5)1/2+2/5

[tex]\[ \text{Step 1: Find a common denominator (10): } \\ \frac{5}{10} + \frac{4}{10} = \frac{}{} \] \[ \boxed{\color{brown} \mathrm{\frac{9}{10}}} \] [/tex]

6.) 2/7 + 1/2

[tex]\[ \text{Step 1: Find a common denominator (14): } \\ \frac{4}{14} + \frac{7}{14} = \frac{}{} \] \[ \boxed{\color{brown} \mathrm{\frac{11}{14}}} \][/tex]

7). 2/5+5/10

[tex]\[ \text{Step 1: Simplify } \frac{5}{10} \text{ to } \frac{1}{2}: \\ \: \: \: \: \: \: \: \: \frac{2}{5} + \frac{1}{2} = \frac{4}{10} + \frac{5}{10} = \frac{}{} \] \[ \boxed{\color{brown} \mathrm{\frac{9}{10}}} \][/tex]

8)2/6+1/2

[tex] \: \: \: \: \: \: \: \: \: \: \[ \text{Step 1: Simplify } \frac{2}{6} \text{ to } \frac{1}{3}: \\ \: \: \: \: \: \: \: \: \: \: \: \: \frac{1}{3} + \frac{1}{2} = \frac{2}{6} + \frac{3}{6} = \frac{}{} \] \[ \boxed{\color{brown} \mathrm{\frac{5}{6}}} \][/tex]

9)2/6+1/2

[tex]\[ \text{Step 1: Same as problem 8: } \\ \frac{}{} \] \[ \boxed{\color{brown} \mathrm{\frac{5}{6}}} \][/tex]

10) 2/10+1/2

[tex]\[ \text{Step 1: Simplify } \frac{2}{10} \text{ to } \frac{1}{5}: \\ \: \: \: \: \frac{1}{5} + \frac{1}{2} = \frac{2}{10} + \frac{5}{10} = \frac{}{} \] \[ \boxed{\color{brown} \mathrm{\frac{7}{10}}} \][/tex]

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