Question

Выполните сложение -2/5+(-7/15),-1/3+1/2;-5/18+1/24 помогите пожалуйста

Answer 1

-2/5=10/5 +(-7/15)=13/7 ,1/3+1/2=24/5 ;-5/18+1/24=14/12

Answer 2

Addition of Fractions

To perform the addition of fractions, we need to find a common denominator for each pair of fractions. Once we have a common denominator, we can add the numerators and keep the denominator the same. Let's solve the given addition problems step by step:

1. -2/5 + (-7/15):

To find a common denominator, we need to find the least common multiple (LCM) of 5 and 15, which is 15. Now, we can rewrite the fractions with the common denominator:

-2/5 = -6/15

-7/15 remains the same

Now, we can add the numerators and keep the denominator the same:

-6/15 + (-7/15) = -13/15

Therefore, -2/5 + (-7/15) = -13/15.

2. -1/3 + 1/2:

To find a common denominator, we need to find the LCM of 3 and 2, which is 6. Now, we can rewrite the fractions with the common denominator:

-1/3 = -2/6

1/2 = 3/6

Now, we can add the numerators and keep the denominator the same:

-2/6 + 3/6 = 1/6

Therefore, -1/3 + 1/2 = 1/6.

3. -5/18 + 1/24:

To find a common denominator, we need to find the LCM of 18 and 24, which is 72. Now, we can rewrite the fractions with the common denominator:

-5/18 = -20/72

1/24 = 3/72

Now, we can add the numerators and keep the denominator the same:

-20/72 + 3/72 = -17/72

Therefore, -5/18 + 1/24 = -17/72.

In summary, the solutions to the given addition problems are:

- -2/5 + (-7/15) = -13/15 - -1/3 + 1/2 = 1/6 - -5/18 + 1/24 = -17/72

Please let me know if there's anything else I can help you with!