Question

Как дроби РЕШИТЬ ПРОСТО 2/9+5/6+1/18,2/15+1/5+3/10,3/8+5/12+1/24,1/4+3/8+5/16,5/7+3/14+1/21

Answer 1

2/9+5/6+1/18=4/18+ 15/18+ 1/18=20/18=10/9= 1 1/9
2/15+1/5+3/10=20/150+ 30/150+45/150=95/150=19/30
 3/8+5/12+1/24= 9/24+ 10/24+ 1/24=20/24=5/6
1/4+3/8+5/16=4/16+6/16+5/16=15/16
5/7+3/14+1/21 =30/42+ 9/42+ 2/42=41/42

Answer 2

Solving the Fraction Equations

To solve the given fraction equations, we can add or subtract the fractions to simplify them. Let's solve each equation step by step.

1. 2/9 + 5/6 + 1/18

To add these fractions, we need to find a common denominator. The least common multiple of 9, 6, and 18 is 18.

Therefore, the equation becomes: \(\frac{2}{9} + \frac{15}{18} + \frac{1}{18} = \frac{4}{18} + \frac{15}{18} + \frac{1}{18} = \frac{20}{18} = \frac{10}{9}\).

So, the solution is 10/9.

2. 2/15 + 1/5 + 3/10

The least common multiple of 15, 5, and 10 is 30.

Therefore, the equation becomes: \(\frac{4}{30} + \frac{6}{30} + \frac{9}{30} = \frac{19}{30}\).

So, the solution is 19/30.

3. 3/8 + 5/12 + 1/24

The least common multiple of 8, 12, and 24 is 24.

Therefore, the equation becomes: \(\frac{9}{24} + \frac{10}{24} + \frac{1}{24} = \frac{20}{24} = \frac{5}{6}\).

So, the solution is 5/6.

4. 1/4 + 3/8 + 5/16

The least common multiple of 4, 8, and 16 is 16.

Therefore, the equation becomes: \(\frac{4}{16} + \frac{6}{16} + \frac{5}{16} = \frac{15}{16}\).

So, the solution is 15/16.

5. 5/7 + 3/14 + 1/21

The least common multiple of 7, 14, and 21 is 42.

Therefore, the equation becomes: \(\frac{30}{42} + \frac{6}{42} + \frac{2}{42} = \frac{38}{42} = \frac{19}{21}\).

So, the solution is 19/21.

These are the solutions to the given fraction equations. If you have any more questions or need further assistance, feel free to ask!