Arithmatic and Fractions Practice Test
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Question 1 of 8
1. Question
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Question 2 of 8
2. Question
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Question 3 of 8
3. Question
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Question 4 of 8
4. Question
Of the following, which is greater than 3/4 ?
Indicate all such fractions.Correct
Explanation:
This can be done in many ways. One way is to convert all the fractions into decimals, then compare.
Second way is using Crossmultiplication technique.
Third way, elimination technique. To do that choose a integer number so that we can compare all the fractions in such a way that we don’t need to convert fractions to decimal. In these case multiply all of the fractions including 3/4 by 4:
Multiply all the fractions by 4:
(3/4)*4 =3(2/3)*4 = 8/3 eliminate
(2/5)*4 = 8/5 eliminate
(4/5)*4 = 16/5 > 3
(4/7)*4 = 16/7 eliminate
(5/6)*4 = 20/6 > 3
(9/13)*4 = 36/13 eliminate
(11/13)*4 = 44/13 > 3
Just eliminate fractions that are less than 3.Incorrect
Explanation:
This can be done in many ways. One way is to convert all the fractions into decimals, then compare.
Second way is using Crossmultiplication technique.
Third way, elimination technique. To do that choose a integer number so that we can compare all the fractions in such a way that we don’t need to convert fractions to decimal. In these case multiply all of the fractions including 3/4 by 4:
Multiply all the fractions by 4:
(3/4)*4 =3(2/3)*4 = 8/3 eliminate
(2/5)*4 = 8/5 eliminate
(4/5)*4 = 16/5 > 3
(4/7)*4 = 16/7 eliminate
(5/6)*4 = 20/6 > 3
(9/13)*4 = 36/13 eliminate
(11/13)*4 = 44/13 > 3
Just eliminate fractions that are less than 3. 
Question 5 of 8
5. Question
Emma spends 1/4 of her monthly income on rent and 1/2 on food. Her friend, Emily, who earns twice as much as Emma, spends 5/12 of her monthly income on food and 3/8 on rent. If the two friends decided to contribute the remainder of their money to a infirmary each month, what fraction of their combined monthly income will they contribute? (assume all income in question after taxes).
Correct
Explanation:
Pick a smart number to solve this problem. The denominators in the problem are 4, 2, 12, and 8. We need to choose a number that is least common multiple of the denominators.
Least common multiple of 4, 2, 12, and 8 is 24.Let Emma earn $24 per month, according to the question Emily earn twice as much as Emma, that means she earn $48 per month.
So their income breakdown as follows:
Emma:
Rent: 1/4 of 24 = 6
Food: ½ of 24 = 12
Remaining: 24 – (6+12) = 6Emily:
Rent: 3/8 of 48 = 18
Food: 5/12 of 48 = 20
Remaining: 48 – (18+20) = 10They contribute a total of $16 out of their combined monthly income of $72 (16/72 = 2/9 = 48/216).
Incorrect
Explanation:
Pick a smart number to solve this problem. The denominators in the problem are 4, 2, 12, and 8. We need to choose a number that is least common multiple of the denominators.
Least common multiple of 4, 2, 12, and 8 is 24.Let Emma earn $24 per month, according to the question Emily earn twice as much as Emma, that means she earn $48 per month.
So their income breakdown as follows:
Emma:
Rent: 1/4 of 24 = 6
Food: ½ of 24 = 12
Remaining: 24 – (6+12) = 6Emily:
Rent: 3/8 of 48 = 18
Food: 5/12 of 48 = 20
Remaining: 48 – (18+20) = 10They contribute a total of $16 out of their combined monthly income of $72 (16/72 = 2/9 = 48/216).

Question 6 of 8
6. Question
The number 0.756 is how much greater than 3/4?
Correct
Explanation:
3/4 = 0.75, difference = 0.756 – 0.750 = 0.006
3/500 = 6/1000 = 0.006Incorrect
Explanation:
3/4 = 0.75, difference = 0.756 – 0.750 = 0.006
3/500 = 6/1000 = 0.006 
Question 7 of 8
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Question 8 of 8
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