Question

1) -3 1/12+1/6 2) 3 6/7+(-6 4/9) 3) 9 1/6+(-5 3/4) 4) -3 8/9+(-2 1/12)

Answer 1

Ответ:

Пошаговое объяснение:

1) -3 1/12+1/6  =-3 1/12+2/12=-3+1/12=-2 11/12

2) 3 6/7+(-6 4/9)=3 54/63-6 28/63=-3+26/63=-2 37/63

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

4) -3 8/9+(-2 1/12)=-3 32/36-2 3/36=-5 35/36

Answer 2

To perform these addition operations, you need to add the whole numbers separately from the fractions. Let's calculate each of these:

1. -3 1/12 + 1/6: First, add the whole numbers: -3 + 0 = -3 Now, add the fractions: 1/12 + 1/6 = 2/12 + 12/12 = 14/12

Now, simplify the fraction 14/12: 14/12 = 7/6

So, -3 1/12 + 1/6 = -3 7/6.

2. 3 6/7 + (-6 4/9): First, add the whole numbers: 3 + (-6) = -3 Now, add the fractions: 6/7 + (-4/9)

To add fractions with different denominators, you need to find a common denominator. In this case, the common denominator is 63 (7 * 9).

Convert both fractions to have a denominator of 63: 6/7 * 9/9 = 54/63 (-4/9) * 7/7 = -28/63

Now, add the fractions: 54/63 + (-28/63) = 26/63

So, 3 6/7 + (-6 4/9) = -3 26/63.

3. 9 1/6 + (-5 3/4): First, add the whole numbers: 9 + (-5) = 4 Now, add the fractions: 1/6 + (-3/4)

To add fractions with different denominators, find a common denominator. In this case, the common denominator is 12 (6 * 2).

Convert both fractions to have a denominator of 12: 1/6 * 2/2 = 2/12 (-3/4) * 3/3 = -9/12

Now, add the fractions: 2/12 + (-9/12) = -7/12

So, 9 1/6 + (-5 3/4) = 4 - 7/12.

4. -3 8/9 + (-2 1/12): First, add the whole numbers: -3 + (-2) = -5 Now, add the fractions: 8/9 + (-1/12)

To add fractions with different denominators, find a common denominator. In this case, the common denominator is 36 (9 * 4).

Convert both fractions to have a denominator of 36: 8/9 * 4/4 = 32/36 (-1/12) * 3/3 = -3/36

Now, add the fractions: 32/36 + (-3/36) = 29/36

So, -3 8/9 + (-2 1/12) = -5 29/36.