Answer:
TOTAL WIDTH = 16.75 in.
Explaination:
1/2 * 3 = 3/2 or 1.5
1/6 * 4 = 4/6 or 2/3
1/8 * 5 = 5/8
3/2 = 9/6
2/3 = 4/6
9/6 + 4/6 = 13/6 = 2 1/6
13/6 = 104/48
5/8 = 30/48
104/48 + 30/48 = 134/8
134/8 = 67/4 = 33.5/2 = 16 1.5/2 = 16.75 inches thick
Answer:
1) 2 and 19/24
2) 14 (2 1/2) acres can be made.
3) 6 19/40 inches of ribbon left
Step-by-step explanation:
1) 2 19/24
First, add up your values
3 books that are 1/2 inch thick : 1/2 + 1/2 + 1/2 = 3/2
4 books that are 1/6 inch thick: 1/6 + 1/6 + 1/6 + 1/6 = 4/6 = 2/3
5 books that are 8 inch thick: 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 5/8
Now we can add our fractions:
3/2 + 2/3 + 5/8
But.. how? Our denominators are NOT equal! All, you have to do if find the LCD, or Lowest Common Denominator. What are 2, 3, and 8 ALL dividable by? 24!
3/2 = 36/24
2/3 = 16/24
15/8 = 10/24
36/24 + 16/24 + 10/24 = 67/24
Now simplify!
62/24 = 2 19/24
2) 14 (2 1/2) acres can be made.
What we need to do id divide 35 acres by 2 1/2! To do this, make 35 a fraction, by putting it over 1, and make 2 1/2 an improper fraction.
35/1 divided by 5/2 = ?
Reverse the fraction, and just multiply across.
35/1 x 2/5 = 70/5 = 14
3) 6 19/40 of ribbon left
Simply subtract 2/5 from 6 7/8! To do this, turn 6 7/8 into an improper function, and find the LCD.
55/8 - 2/5 = ?
LCD = 40
275/40 - 16/40 = 259/40 = 6 19/40
Hope this helps! :)
