1). At lunch 5 people out of the group of 9 had burgers. WHat fraction names the part that had burgers and what fraction did not have burgers.
Had burgers = 5/9
Did not have burgers = the other 4/9
2). Change this to a mixed or whole number: 58/7
8 and 2/7
3). Put 13 2/5 to a improper fraction.
= 13*5 + 2 over 5
= 67/5
4). Fraction Equivalent: Jeff hit 104 hits in 325 times to bat. Matt has 88 hits in 275 bats. Do they have the same batting average?
104/325 = 0.32
88/275 = 0.32
YES, they are the same
5). Fraction to simple form: 17/51,
Divide the top and bottom by 17:
1/3
6.) 42/55,
Can’t be reduced
7). Write answer in Simplest forms: 5/21 x 14/25,
= 1/21 * 14/5
= 1/3 * 2/5
= 2/15
8), 4 1/5 x 10/21 x 9/20.
= 21/5 * 10/21 * 9/20
= 1/5 * 10/1 * 9/20
= 1/1 * 2/1 * 9/20
= 18/20
= 9/10
9). Find reciporcol of each: 3/4 divided by 9,
¾ / 9
= ¾ * 1/9
= 3/36
= 1/12
Reciprocal (flip it) = 12
10). 5 1/3 divided by 2 2/5,
16/3 / 12/5
16/3 * 5/12
= 4/3 * 5/3
= 20/9
11). A bill sent to the president of the U.S. when it has passed both houses of congress. A majority vote in both the house Rep (435 memebers) and Senate (100 memebers) is need for bill to be passed on to the president. Majority vote is a majority of mebers present, as long as nore than one-half of all members are present. MOre than one-half of the members makes up what is called quorum.Congress can stil override the veto but 2/3 members most vote to override. this is 2/3 of quorum of members. A). Assume 420 members of the house are available to vote. How many votes are necessary to make up majority, which is anything over 1/2?
½ * 420 = 210
add 1:
211 votes
B). IF 90 members are available to vote how many votes would be constitute a majority?
90/2 = 45, plus 1
= 46
C). How many votes from a group of 420 members of the house woujld be neccessary to overturn a veto?
2/3 * 420 = 280
D). How many votes from a group would be neccesary to overturn a veto.
Here is somethat is due on 8/25. 1). Put these in lowest terms.. 13/18 and 9/11 + 3/11 + 7/11.
2). Maria a road inspector must inspect 17/30 of a mile road. If she has already inspected 11/30 of a mile, how much more does she need to inspect?
17/30 – 11/30
= 6/30
= 3/15
= 1/5
3). Find he perimeter fo the traingle. Each side of the traingle is 3/8.
All three sides are 3/8?
3/8 * 3
= 9/8
4). Find the least common mutiple.. 12, 20 and 35.
Factor each:
12 = 2*2*3
20 = 2*2*5
35 = 5*7
Take factors from each:
2*2*3*5*7
= 420
Find least common denominator for fractions with given denominators. 1/3 + 5/12 + 4/5.
Cd = 60
20/60 + 25/60 + 48/60
= 93/60
= 31/20
and then 13/15 -11/20.
Cd = 60
52/60 – 33/60
= 19/60
5). Benjamin and Oliva are putting in a new kitchen. To get the floor up to the desired height, they need to add 1/8 of subflooring. They can do this in one to two ways. They can put 3/8 in. board on top of 3/4 in. sheet. The table below give the price for each sheet of plywood from Home Depot Store on May 2004.
The thickness is 1/8in $9.15, 1/4 in. $13.05, 3/8in $14.99, 1/2 in. $17.88, 5/8 in. $ 19.13, 3/4in $21.36, 7/8in $25.23, and 1in. $28.49. These are the cost of 4ft x 8ft sheets. A). What is the combination price for the 1/2in sheet and a 5/8 sheet? B). What is the combined price of 3/8in sheet and a 3/4in sheet? C). What other combination of sheets of plywood yeilds the needed 1 1/8 in thickness? D). Of the four combinations, which is most economical? 6). The kitchen is to be 12ft x 12ft. Find the total cost of plywood you suggested in Question 4.
What is the combined price for a 1/2 -in. sheet and a5/8 -in. sheet?
Add the prices of 1/2 in and 5/8 in:
17.88 + 19.13
= $37.01
What is the combined price for a 3/8- in. sheet and a 3/4 -in. sheet?
Add the prices for 3/8 and 3/4:
14.99 + 21.36
= $36.35
What other combination of sheets of plywood yields the needed 1 1/8 -in. thickness
1/8 + 1
and
1/4 + 7/8
Of the four combinations, which is most economical?
Price for 1/8 + 1:
9.15 + 28.49
= $37.64
Price for 1/4 + 7/8:
13.05 + 25.23
= $38.28
The best deal (lowest price) is the 3/8 and 3/4 ($36.35).
The kitchen is to be 12 ft X 12 ft. Find the total cost of the plywood you have suggested in question 4.
Each board is 4x8. The area of a board is 4*8 = 32 square feet.
Assuming we can cut the boards, we can fit them in to the area 12x12 as we'd like. The 12x12 area is 12*12 = 144 square feet
Divide to determine how many boards we need:
144/32 = 4.5
We'll have to buy 5 boards to buy enough (assuming you can't buy a partial board).
5 boards at 36.35 per board:
5 * 36.35
= $181.75
Keep in mind, I have assumed that you can cut boards, and that you have to buy a whole number of boards (you can't buy partial boards).
7). Indicate the operations: 1 1/5 + 3 3/10 + 2 4/5.
= 6/5 + 33/10 + 14/5
= 12/10 + 33/10 + 28/10
= 73/10
and Robin ran 5 1/3 miles on Sunday, 2 1/4 miles on Tues, and 3 1/2 miles on Friday. How far did she run during the week?
16/3 + 9/4 + 7/2
64/12 + 27/12 + 42/12
133/12
= 11 and 1/12 miles
The interest rate on an Auto loan in May was 12 3/8%. By Sept. the reatre was up to 14 1/4%. How many percentage points did the interest rate increase over the period?
14 ¼ - 12 3/8
= 2 – 1/8
1 7/8 %