Answer:
1) So, you're going to add fractions. 3/8 + 2/6 =
Step-by-step explanation:
1) First, you find the LCD. (<em>Least Common Denominator) </em>The lowest common number between 6 and 8 is 24. So,
3/8 = 3 x 3/8 x 3 =9/24
2/6 = 2 x 4/ 6 x 4 =8/24
Now add.
8/24 + 9/24 = 17/24
Ans: 17/24
2) First, you make 2 1/4 into an <u>improper fraction</u>. So, add 8 to 1/4.
1/4 + 8 = 9/4
Now, find the LCD. (<em>Least Common Denominator) </em>The mallest number that 6 and 4 both equal is 12. So-
9 x 3/ 4 x 3 = 27/12
3 x 2/6 x 2 =6/12
Subtract.
27/12 - 6/12 = 21/12
Simplify.
21/12. Divide both the numerator and the denominator by 3.
21 ÷ 3/12 ÷ 3 = 7/4
Make it a Mixed Number.
7/4 = 1 3/4
Ans: 1 3/4
3) Do the same steps for Number 1. I'll show them again.
First, make both fractions <u>improper fractions</u>.
3 4/5 = 19/5
1 1/3 = 4/3
First, you find the LCD. (<em>Least Common Denominator) </em>The lowest common number between 5 and 3 is 15. So,
19/5 = 19 x 3/5 x 3 = 57/15
4/3 = 4 x 5/3 x 5 = 20/15
Now subtract.
57/15 - 20/15 = 37/15
Now make it an <u>mixed number</u>.
37/15 = 2 7/15
Ans: 2 7/15
4) First, make 6 into a fraction. 6 = 6/1.
Then, make 2 1/5 an improper fraction.
2 1/5 = 11/5
Find the LCD. (<em>Least Common Denominator)</em>
The lowest number that 1 and 5 have in common is 5.
6 x 5 / 1 x 5 = 30/5
11 x 1 / 5 x 1 = 11/5
Now, subtract.
30/5 - 11/5 = 9/5
Now make 9/5 a <u>mixed number</u>.
9/5 = 1 4/5
The others are word problems, and I'll answer them in a separate comment, hope these help. :)