Question

1)2/15+1/5+3/10 2)3/8+5/12+1/243)1/4+3/8+5/164)5/7+3/14+1/21ПОМОГИТЕ РЕШИТЬ ДАЮ 20 БАЛЛОВ.СРОЧНО ​

Answer 1

1)19/30
2)5/6
3)15/16
4)41/42

Answer 2

Adding Fractions

1) To solve the expression 2/15 + 1/5 + 3/10, you can first find a common denominator for all the fractions and then add them together.

The common denominator for 15, 5, and 10 is 30.

Therefore, the expression becomes: \[ \frac{2}{15} + \frac{6}{30} + \frac{9}{30} \]

Adding these fractions together gives: \[ \frac{2}{15} + \frac{6}{30} + \frac{9}{30} = \frac{2+6+9}{30} = \frac{17}{30} \]

So, 2/15 + 1/5 + 3/10 = 17/30.

2) Moving on to 3/8 + 5/12 + 1/24, you can follow the same process.

The common denominator for 8, 12, and 24 is 24.

Therefore, the expression becomes: \[ \frac{9}{24} + \frac{10}{24} + \frac{1}{24} \]

Adding these fractions together gives: \[ \frac{9}{24} + \frac{10}{24} + \frac{1}{24} = \frac{9+10+1}{24} = \frac{20}{24} = \frac{5}{6} \]

So, 3/8 + 5/12 + 1/24 = 5/6.

3) Next, for 1/4 + 3/8 + 5/16:

The common denominator for 4, 8, and 16 is 16.

Therefore, the expression becomes: \[ \frac{4}{16} + \frac{6}{16} + \frac{5}{16} \]

Adding these fractions together gives: \[ \frac{4}{16} + \frac{6}{16} + \frac{5}{16} = \frac{4+6+5}{16} = \frac{15}{16} \]

So, 1/4 + 3/8 + 5/16 = 15/16.

4) Finally, for 5/7 + 3/14 + 1/21:

The common denominator for 7, 14, and 21 is 42.

Therefore, the expression becomes: \[ \frac{30}{42} + \frac{6}{42} + \frac{2}{42} \]

Adding these fractions together gives: \[ \frac{30}{42} + \frac{6}{42} + \frac{2}{42} = \frac{30+6+2}{42} = \frac{38}{42} = \frac{19}{21} \]

So, 5/7 + 3/14 + 1/21 = 19/21.

Therefore, the solutions to the given expressions are: 1) 2/15 + 1/5 + 3/10 = 17/30 2) 3/8 + 5/12 + 1/24 = 5/6 3) 1/4 + 3/8 + 5/16 = 15/16 4) 5/7 + 3/14 + 1/21 = 19/21.