Here is a Math Quiz 4 ya!?

Question

Are the following greater than, less than, or equal? (<,>,=)


1. 2/6 3/7

2. 8/9 8/9

3. 3/4 4/6

4. 5/5 7/8

5. 10/100 50/1000


Who ever gets these right and explains HOW they got it right gets the answer right! (explain each question)

Answer 1

1) 2/6 = .33333333
3/7 = .4285714286
Answer: 2/6 < 3/7

2) Answer: 8/9 = 8/9

3) 3/4 = .75
4/6 = .6666666667
Answer: 3/4 > 4/6

4) 5/5 = 1
7/8 = .875
Answer: 5/5 > 7/8

5) 10/100 = .1
50/1000 = .05
Answer: 10/100 > 50/1000


Just do each fraction on the calculator and get the decimal. Then compare the fractions and determine which is greater than and which is less than.

Answer 2

In some cases you have to find the LCD or lowest common denominator which is the smallest number into which both denominators will divide evenly.

1. The LCD is 42. 42/6 is 7, so multiply 2/6 by 7/7 to get 14/42. Compare this is 3/7 x 6/6 (because 42/7 equals 6) which equals 18/42. Because the denominators are the same you only have to look at the numerators. 18 is greater than 14 so 2/6<3/7.

2. These are the exact same so the answer is = because 8/9=8/9.

3. The LCD is 12. 12/4 is 3, so multiply 3/4 by 3/3 to get 9/12. Compare this is 4/6 x 2/2 (because 12/6 equals 2) which equals 8/12. Because the denominators are the same you only have to look at the numerators. 9 is greater than 8 so 3/4>4/6.

4. In this case you don't need the LCD. Notice that 5/5 = 1 and that 7/8<1. You can therefore conclude that 5/5>7/8.

5. Again you don't need the LCD. Recude 50/1000 to 5/100. Now the fraction has the same denominator as 10/100 so compare the numerators. 10>5 so 10/100>5/1000.

Answer 3

1. Thus 2/6 ... 3/7
Cross multiply using denominators 2 * 7 .... 6 * 3 → 14 < 18
Thus 2/6 < 3/7

2. 8/9 8/9 This one is obvious 8/9 = 8/9

3. 3/4 4/6
3*6 ... 4*4 → 18 > 16
Thus 3/4 > 4/6

4. 5/5 7/8
5*8 ... 5*7 → 40>35
Thus 5/5 > 7/8

5. 10/100 50/1000
10*1000 ... 100*50→ 10000 > 5000
Thus 10/100 > 50/1000
This method ALWAYS works

So if a/b ... c/d
Then compare (in order) a*d ... b*c and whichever of <, =, > fits, that is the sign required between a/b and c/d

Answer 4

1. 2/6 = 14/42 3/7 = 18/42, So 2/6 < 3/7
2. 8/9 = 8/9
3 3/4 = 18/24 4/6 = 16/24, So 3/4 > 4/6
4. 5/5 = 1, So 5/5 > 7/8
5. 10/100 = 100/1000, So 10/100 > 50/1000

Answer 5

1. 2/6 < 3/7
2. =
3. 3/4 > 4/6 -> 3/4 > 2/3 -> .75 > .66
4. 5/5 > 7/8 -> 1 > 7/8
5. 10/100 > 50/1000

Answer 6

meh.
but also, this quiz is insanely easy, even for a 13 yr old like me.
1. 2/6x 7 3/7x6 -- 14/42 <18/42

2. 8/9 8/9 equal

3. 3/4x3 4/6x2 = 9/12 > 8/12

4. 5/5 > 7/8 5/5 = 1

5. 10/100 50/1000 divided by 10 ...10/100 > 5/100

Answer 7

2/6 < 3/7 A third is a lot less than almost a half
8/9 = 8/9 its an identity, its equal
3/4 > 4/6 three quarters is more than two thirds
5/5 > 7/8 one > 7/8
10/100 < 50/100, a tenth is less than a half

Answer 8

2/6< 3/7
8/9 is equal with 8/9

3/4 > 4/6

5/5 > 7/8

10/100>50/1000

Answer 9

1....2/6 < 3/7 (14/42 < 18/42)
2....8/9 = 8/9 (No difference)
3....3/4 > 4/6 (9/12 > 8/12)
4....5/5 > 7/8 (1 > 7/8)
5....10/100 > 50/1000 (1/10 > 0.5/10)

Answer 10

2/6 is greater than 3/7
8/9 is equal to 8/9.
3/4 is greater than 4/6
5/5 is greater than 7/8
and 10/100 is greater than 50/1000.
.... for a fact biatch.