Question

1) -3 3/4+2 1/2; 2)-3/8+5 1/16; 3) 2 4/7+(-3 5/14) ; 4)5 4/9+(-5 4/9;

Answer 1

Ответ:

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

Answer 2

Let's solve each of these addition problems step by step:

1. -3 3/4 + 2 1/2:

First, let's add the whole numbers: -3 + 2 = -1.

Next, let's add the fractions: 3/4 + 1/2. To do this, find a common denominator, which is 4 in this case:

3/4 + 2/4 = 5/4.

So, the result is -1 5/4.

2. -3/8 + 5 1/16:

First, convert the mixed number to an improper fraction:

5 1/16 = (5 * 16 + 1)/16 = 81/16.

Now, add the fractions: -3/8 + 81/16. To do this, find a common denominator, which is 16 in this case:

-3/8 + 81/16 = (-6/16) + (81/16) = 75/16.

So, the result is 75/16.

3. 2 4/7 + (-3 5/14):

First, let's add the whole numbers: 2 + (-3) = -1.

Next, let's add the fractions: 4/7 + (-5/14). To do this, find a common denominator, which is 14 in this case:

4/7 - 10/14 = 4/7 - 5/7 = -1/7.

So, the result is -1 1/7.

4. 5 4/9 + (-5 4/9):

First, let's add the whole numbers: 5 + (-5) = 0.

Next, let's add the fractions: 4/9 + (-4/9). To do this, simply subtract the fractions since they have the same denominator:

4/9 - 4/9 = 0.

So, the result is 0.

Here are the results for each of the addition problems:

1. -1 5/4
2. 75/16
3. -1 1/7
4. 0