Question

А)14/25-7/16+6/25-9/16 Б)19/30+11/40-7/30-13/40 Помогите пожалуйста решить эти примеры

Answer 1

а) $\frac{14+6}{25} + \frac{-7-9}{16} = \frac{20}{25} +\frac{-16}{16}=\frac{4}{5}-1=\frac{4-5}{5} = -\frac{1}{5}= -0,2$

б)$\frac{19-7}{30} + \frac{11-13}{40}= \frac{12}{30} +\frac{-2}{40} = \frac{2}{5}+ \frac{-1}{20}= \frac{8-1}{20}= \frac{7}{20} = 0,35$

Answer 2

Solution for A:

To solve the expression 14/25 - 7/16 + 6/25 - 9/16, we need to find a common denominator for all the fractions involved. The common denominator is the least common multiple (LCM) of the denominators.

The denominators in this expression are 25 and 16. The LCM of 25 and 16 is 400. Therefore, we need to convert all the fractions to have a denominator of 400.

Converting the fractions: - 14/25 = (14 * 16) / (25 * 16) = 224/400 - 7/16 = (7 * 25) / (16 * 25) = 175/400 - 6/25 = (6 * 16) / (25 * 16) = 96/400 - 9/16 = (9 * 25) / (16 * 25) = 225/400

Now, we can substitute the converted fractions into the expression: 224/400 - 175/400 + 96/400 - 225/400

Combining the fractions: (224 - 175 + 96 - 225) / 400 = -80/400 = -1/5.

Therefore, the solution for A is -1/5.

Solution for B:

To solve the expression 19/30 + 11/40 - 7/30 - 13/40, we need to find a common denominator for all the fractions involved. The common denominator is the least common multiple (LCM) of the denominators.

The denominators in this expression are 30 and 40. The LCM of 30 and 40 is 120. Therefore, we need to convert all the fractions to have a denominator of 120.

Converting the fractions: - 19/30 = (19 * 4) / (30 * 4) = 76/120 - 11/40 = (11 * 3) / (40 * 3) = 33/120 - 7/30 = (7 * 4) / (30 * 4) = 28/120 - 13/40 = (13 * 3) / (40 * 3) = 39/120

Now, we can substitute the converted fractions into the expression: 76/120 + 33/120 - 28/120 - 39/120

Combining the fractions: (76 + 33 - 28 - 39) / 120 = 42/120 = 7/20.

Therefore, the solution for B is 7/20.

I hope this helps! Let me know if you have any further questions.