Question

1) -3/16+(-2 5/16) 2) -3/7+(-5/6) 3) -3 7/9+(-2 5/9) 4) -5/12+(-2/15)

Answer 1

то что изначально дано не пишу

1)-3/16- 37/16=-40/16= - 2 8/16= - 2,5

2) -3/7-5/6=--18/42-35/42= - 53/42=- 1 11/42

3)- 3 7/9- 2 5/9= -5 12/9= - 6 3/9= -6 1/3

4) - 5/12-2/15=- 75/180 - 24/180= - 99/180 -11/20

Answer 2

Let's simplify the following expressions:

1. -3/16 + (-2 5/16): First, subtract the whole numbers: -2 - 3 = -5 Now, add the fractions: -5/16 + (-5/16) = -10/16 Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2: -10/16 = -5/8

2. -3/7 + (-5/6): To add these fractions, you need a common denominator. The least common denominator for 7 and 6 is 42. Convert both fractions to have a denominator of 42: -3/7 * 6/6 = -18/42 -5/6 * 7/7 = -35/42 Now, add the fractions: -18/42 + (-35/42) = -53/42

3. -3 7/9 + (-2 5/9): First, subtract the whole numbers: -3 - 2 = -5 Now, add the fractions: 7/9 + (-5/9) = 2/9 The result is -5 2/9.

4. -5/12 + (-2/15): To add these fractions, you need a common denominator. The least common denominator for 12 and 15 is 60. Convert both fractions to have a denominator of 60: -5/12 * 5/5 = -25/60 -2/15 * 4/4 = -8/60 Now, add the fractions: -25/60 + (-8/60) = -33/60 Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 3: -33/60 = -11/20

So, the simplified results are:

1. -5/8
2. -53/42
3. -5 2/9
4. -11/20