Learning Task 2: Find the sum and difference.
notebook. Express the answer in lowest term.
1.8/8 - 5/8
2.6/12 + 4/6
3.8/15 + 3/15
4.10/18 + 3/9
5.4/20 + 7/15
6.4/5 - 15/25
7.5 3/4 - 3 5/6
8.3 2/3 - 5 5/9
9.9 + 1


Sagot :

Answer

the answer is in the explanation, This would be long i think haha.

Step-by-step explanation:

1. 8/8-5/8= 8-5=3 (The denominator is still the same because they have the same number.) Answer:3/8

2. 6/12+4/6 = (find the LCD of the denominators) 6/12+4/6 = /12+ /12 (LCD of 6 and 12 are 12) = 12 divide 12 = 1 X 6 = 6, then 12 divide 6 - 2 X  4 = 8, then 6/12 + 8/12 = 14/12 or (mixed number form) 1 3/12.

3. 8/15 + 3/15 = 11/15

4. 10/18 + 3/9 = (find the LCD of the denominators) 10/18+3/9 = /18 + /18 (LCD of 18 and 9 are 18) = 10/18 + 3/18 = 18 divide 18 = 1 X 10 = 10, then 18 divide 9 = 2 X 3 = 6 : 10/18 + 6/18 = 16/18 or in simplification form is 8/9.

5. 4/20 + 7/15 = (Find the LCD of the denominators) 4/20 + 7/15 = /60 + /60 (LCD of 20 and 15 are 60) = 60 divide 20 = 3 X 4 = 12, then 60 divide 15 = 4 X 7 = 28 : 12/60 + 28/60 = 40/60 or in simplification form is 2/3

6. 4/5 - 15/25 = (Find the LCD of the denominators) 4/5 - 15/25 = /25 - /25 (LCD of 5 and 25 are 25) = 25 divide 5 = 5 X 4 = 20, then 25 divide 25 = 1 X 15 = 15 : 20/25 - 15/25 = 5/25 or in simplification form is 1/5

7. 5 3/4 - 3 5/6 = (Convert mixed numbers to improper fractions) 4 X 5 = 20 + 3 = 23, then 6 X 3 = 18 + 5 = 23 (Because when you are going to make mixed numbers to a improper fraction always Multiply the denominator to the whole number then add it to the numerator) = 23/4 - 23/6 (Find the LCD of the denominator) 23/4 - 23/6 = /12 - /12 = 12 divide 4 = 3 X 23 = 69,then 12 divide 6 = 2 X 23 = 36 : 69/12 - 36/12 = 33/12 or in simplification form is 11/4 then on mixed number form is 2 3/4.

8. 3 2/3 - 5 5/9 = 3 X 3 = 9 + 2 = 11, then 9 X 5 = 45 + 5 = 50 (Because when you are going to make mixed numbers to a improper fraction always Multiply the denominator to the whole number then add it to the numerator) = 11/3 - 50/9 = /9 - /9 (Find the LCD of the denominator) 9 divide 3 = 3 X 11 = 33, then 9 divide 9 = 1 X 50 = 50 : 33/9 - 50/9 = -17/9 or -1 8/9

9. 9 + 1 = 10

(Sorry if I'm wrong :3 comment if this is helpful thank you!)