Question

Стр. 126 номер 397 Вычислите: 1) 1 3/4+(-1/2); 2) 5 2/9+(-1/3); 3) 4 3/8+(-1/4); 4) 5 1/2+3,4; 5) 4 1/3+(-7 5/9); 6) 3 3/8+(-9 1/2); 7) 2 1/3+(-4 5/6); 8) 1 1/12+(-5 1/6); 9) 3 2/15+(-9 1/3).​ ПЖ. Срочно помогите...Оценю как лучший ответ...токо можно не фотом? а то у меня долго загружается...​

Answer 1

$1)1\frac{3}{4} +(-\frac{1}{2}) =\frac{7}{4} -\frac{1}{2} =\frac{5}{4} =1\frac{1}{4}$

$2)5\frac{2}{9} +(-\frac{1}{3} )=\frac{47}{9} -\frac{1}{3} =\frac{44}{9} =4\frac{8}{9}$

$3)4\frac{3}{8} +(-\frac{1}{4} )=\frac{35}{8} -\frac{1}{4} =\frac{33}{8} =4\frac{1}{8}$

$4)5\frac{1}{2} +3,4=\frac{11}{2} +\frac{17}{5} =\frac{89}{10} =8\frac{9}{10}$

$5)4\frac{1}{3} +(-7\frac{5}{9} )=\frac{13}{3} -7\frac{5}{9} =\frac{13}{3}-\frac{68}{9} =-\frac{29}{9} =-3\frac{2}{9}$

$6)3\frac{3}{8} +(-9\frac{1}{2} )=\frac{27}{8} -9\frac{1}{2} =\frac{27}{8} -\frac{19}{2}=-\frac{49}{8} =-6\frac{1}{8}$

$7)2\frac{1}{3} +(-4\frac{5}{6} )=\frac{7}{3} -4\frac{5}{6} =\frac{7}{3} -\frac{29}{6}=-\frac{5}{2} =-2\frac{1}{2}$

$8)1\frac{1}{12} +(-5\frac{1}{6} )=\frac{13}{12} -5\frac{1}{6} =\frac{13}{12} -\frac{31}{6} =-\frac{49}{12} =-4\frac{1}{12}$

$9)3\frac{2}{15} +(-9\frac{1}{3})=\frac{47}{15} -9\frac{1}{3} =\frac{47}{15} -\frac{28}{3}=-\frac{31}{5} =-6\frac{1}{5}$

Answer 2

1) 1 + 3/4 + (-1/2) = 1 + 3/4 - 1/2

To add or subtract fractions, we need a common denominator. The common denominator for 4 and 2 is 4.

1 + 3/4 - 1/2 = 4/4 + 3/4 - 2/4 = 7/4 - 2/4 = 5/4

So, the answer is 5/4.

2) 5 + 2/9 + (-1/3) = 5 + 2/9 - 1/3

The common denominator for 9 and 3 is 9.

5 + 2/9 - 1/3 = 45/9 + 2/9 - 3/9 = 44/9

So, the answer is 44/9.

3) 4 + 3/8 + (-1/4) = 4 + 3/8 - 1/4

The common denominator for 8 and 4 is 8.

4 + 3/8 - 1/4 = 32/8 + 3/8 - 2/8 = 33/8

So, the answer is 33/8.

4) 5 + 1/2 + 3.4 = 5 + 1/2 + 34/10

To add a whole number and a fraction, we need to convert the whole number to a fraction.

5 + 1/2 + 34/10 = 10/2 + 1/2 + 34/10 = 45/10 + 34/10 = 79/10

So, the answer is 79/10.

5) 4 + 1/3 + (-7 + 5/9) = 4 + 1/3 + (-63/9 + 5/9)

To add a whole number, fraction, and mixed number, first add the whole numbers, then add the fractions separately.

4 + 1/3 + (-63/9 + 5/9) = 4 + 1/3 + (-58/9)

To subtract fractions, we need a common denominator.

4 + 1/3 + (-58/9) = 12/3 + 1/3 - 58/9 = 13/3 - 58/9

The common denominator for 3 and 9 is 9.

13/3 - 58/9 = 39/9 - 58/9 = -19/9

So, the answer is -19/9.

6) 3 + 3/8 + (-9 + 1/2) = 3 + 3/8 + (-18/2 + 1/2)

To add a whole number, fraction, and mixed number, first add the whole numbers, then add the fractions separately.

3 + 3/8 + (-18/2 + 1/2) = 3 + 3/8 + (-17/2)

To subtract fractions, we need a common denominator.

3 + 3/8 + (-17/2) = 24/8 + 3/8 - 136/8 = -109/8

So, the answer is -109/8.

7) 2 + 1/3 + (-4 + 5/6) = 2 + 1/3 + (-24/6 + 5/6)

To add a whole number, fraction, and mixed number, first add the whole numbers, then add the fractions separately.

2 + 1/3 + (-24/6 + 5/6) = 2 + 1/3 + (-19/6)

To subtract fractions, we need a common denominator.

2 + 1/3 + (-19/6) = 12/6 + 1/3 - 19/6 = -6/6

So, the answer is -6/6, which simplifies to -1.

8) 1 + 1/12 + (-5 + 1/6) = 1 + 1/12 + (-30/6 + 1/6)

To add a whole number, fraction, and mixed number, first add the whole numbers, then add the fractions separately.

1 + 1/12 + (-30/6 + 1/6) = 1 + 1/12 + (-29/6)

To subtract fractions, we need a common denominator.

1 + 1/12 + (-29/6) = 12/12 + 1/12 - 58/12 = -45/12

So, the answer is -45/12, which simplifies to -15/4.

9) 3 + 2/15 + (-9 + 1/3) = 3 + 2/15 + (-45/15 + 1/3)

To add a whole number, fraction, and mixed number, first add the whole numbers, then add the fractions separately.

3 + 2/15 + (-45/15 + 1/3) = 3 + 2/15 + (-44/15)

To subtract fractions, we need a common denominator.

3 + 2/15 + (-44/15) = 45/15 + 2/15 - 44/15 = 3/15

So, the answer is 3/15, which simplifies to 1/5.

Therefore, the answers are: 1) 5/4 2) 44/9 3) 33/8 4) 79/10 5) -19/9 6) -109/8 7) -1 8) -15/4 9) 1/5