Question

1) -10 целых 7/10 + (-1/5)=? 2) -4 целых 4/5 +(-2 целых 1/3)=? 3) 2 целых 1/2 - 3/4=? 4) -1/4 - (-3/8)=? 5) -8/15 - ( -1/5)=?

Answer 1

1. 10 цел 1/2
2. -7 цел 2/15
3. 1 цел 3/4
4. 1/8
5. -1/3

Answer 2

1) = -10 10/15
2) = -7 2/15

Answer 3

1) To find the value of -10 and 7/10 + (-1/5), we can start by converting the mixed numbers to improper fractions. -10 can be written as -10/1, and 7/10 can be written as 7/10.

Next, we need to find a common denominator for the two fractions, which in this case is 10. We can multiply the numerator and denominator of 7/10 by 2 to get a common denominator of 10.

-10/1 + (7/10)(2/2) + (-1/5) = -10/1 + 14/20 + (-2/10)

Now we have the same denominator for all the fractions, which is 20. We can add the numerators together while keeping the denominator the same.

-10/1 + 14/20 + (-2/10) = -200/20 + 14/20 + (-4/20) = -190/20

Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 10.

-190/20 = -19/2

Therefore, the value of -10 and 7/10 + (-1/5) is -19/2.

2) To find the value of -4 and 4/5 + (-2 and 1/3), we can follow a similar process. Convert the mixed numbers to improper fractions:

-4 can be written as -4/1, and 4/5 can remain as 4/5.

We can convert -2 and 1/3 to an improper fraction by multiplying 2 by 3, then adding 1 to the result. This gives us (2*3 + 1)/3 = 7/3.

Now we need to find a common denominator for the fractions, which in this case is 15. Multiply the numerator and denominator of 4/5 by 3, and the numerator and denominator of 7/3 by 5.

-4/1 + (4/5)(3/3) + (7/3)(5/5) = -4/1 + 12/15 + 35/15

Now we have the same denominator for all the fractions, which is 15. We can add the numerators together while keeping the denominator the same.

-4/1 + 12/15 + 35/15 = -60/15 + 12/15 + 35/15 = -13/15

Therefore, the value of -4 and 4/5 + (-2 and 1/3) is -13/15.

3) To find the value of 2 and 1/2 - 3/4, we can follow a similar process. Convert the mixed number to an improper fraction:

2 and 1/2 can be written as (2*2 + 1)/2 = 5/2.

Now we need to find a common denominator for the fractions, which in this case is 4. Multiply the numerator and denominator of 5/2 by 2, and the numerator and denominator of 3/4 by 2.

(5/2)(2/2) - (3/4)(2/2) = 10/4 - 6/4

Now we have the same denominator for both fractions, which is 4. We can subtract the numerators while keeping the denominator the same.

10/4 - 6/4 = 4/4 = 1

Therefore, the value of 2 and 1/2 - 3/4 is 1.

4) To find the value of -1/4 - (-3/8), we can start by simplifying the double negative sign. -(-3/8) is the same as 3/8.

Next, we need to find a common denominator for the fractions, which in this case is 8. Multiply the numerator and denominator of -1/4 by 2, and the numerator and denominator of 3/8 by 1.

(-1/4)(2/2) - (3/8)(1/1) = -2/8 - 3/8

Now we have the same denominator for both fractions, which is 8. We can subtract the numerators while keeping the denominator the same.

-2/8 - 3/8 = -5/8

Therefore, the value of -1/4 - (-3/8) is -5/8.

5) To find the value of -8/15 - (-1/5), we can start by simplifying the double negative sign. -(-1/5) is the same as 1/5.

Next, we need to find a common denominator for the fractions, which in this case is 15. Multiply the numerator and denominator of -8/15 by 1, and the numerator and denominator of 1/5 by 3.

(-8/15)(1/1) - (1/5)(3/3) = -8/15 - 3/15

Now we have the same denominator for both fractions, which is 15. We can subtract the numerators while keeping the denominator the same.

-8/15 - 3/15 = -11/15

Therefore, the value of -8/15 - (-1/5) is -11/15.