Question

1) -1 3/4+2 1/2= 2) -3 5/14+2 1/2= 3) -6 3/8+5 9/10

Answer 1

Ответ:

1) 2 1/4

2)-1 6/7

3)- 11/40

Answer 2

Let's solve the arithmetic problems step by step:

1. -1 3/4 + 2 1/2: To add these mixed numbers, we need to first convert the fractions into a common denominator. In this case, the common denominator is 4.

-1 3/4 can be written as -4/4 + 3/4 = -7/4 2 1/2 can be written as 2/2 + 1/2 = 3/2

Now, we can add the fractions: -7/4 + 3/2

To add fractions, we need a common denominator. The common denominator for 4 and 2 is 4. Let's convert 3/2 to have a denominator of 4:

3/2 = (3/2) * (2/2) = 6/4

Now, we can add the fractions: -7/4 + 6/4 = -1/4

Therefore, -1 3/4 + 2 1/2 = -1/4.

2. -3 5/14 + 2 1/2: Again, we need to find a common denominator. The common denominator for 14 and 2 is 14.

-3 5/14 can be written as -42/14 + 5/14 = -37/14 2 1/2 can be written as 2/1 + 1/2 = 5/2

Now, we can add the fractions: -37/14 + 5/2

To add fractions, we need a common denominator. The common denominator for 14 and 2 is 14. Let's convert 5/2 to have a denominator of 14:

5/2 = (5/2) * (7/7) = 35/14

Now, we can add the fractions: -37/14 + 35/14 = -2/14

Simplifying the fraction, we get: -2/14 = -1/7

Therefore, -3 5/14 + 2 1/2 = -1/7.

3. -6 3/8 + 5 9/10: Once again, let's find a common denominator. The common denominator for 8 and 10 is 40.

-6 3/8 can be written as -48/8 + 3/8 = -45/8 5 9/10 can be written as 50/10 + 9/10 = 59/10

Now, we can add the fractions: -45/8 + 59/10

To add fractions, we need a common denominator. The common denominator for 8 and 10 is 40. Let's convert -45/8 and 59/10 to have a denominator of 40:

-45/8 = (45/8) * (5/5) = -225/40 59/10 = (59/10) * (4/4) = 236/40

Now, we can add the fractions: -225/40 + 236/40 = 11/40

Therefore, -6 3/8 + 5 9/10 = 11/40.