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Rational Numbers
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When a whole number can be written as a simple fraction it is also known as a “ratio” or a rational fraction. A rational number is any whole number, fraction, mixed number or decimal, including their negative counterparts. An example of a rational number is 1.5. It is rational because it can be turned into a simple rational fraction of 3/2.
3/2 = 1.5
1 .
For the rational number below, find its correct simple rational fraction.
11.2 + 14.2
11.2 + 14.2
24 2⁄10
25 1⁄5
25 22⁄100
25 2⁄5
11.2 + 14.2 = 25.4. 25.4 is a rational number showing 25 as a whole number and then four-tenths. Four-tenths can then be simplified to two-fifths. Answer (d) 25 2⁄5 is the correct answer
2 .
For the rational number below, find its correct simple rational fraction.
.01
.01
1/100
1/1
1/10
1/2
.01 is a rational number that equals 1/100 as the decimal point is two places to the left of the number “1”. Therefore, Answer (a) is correct
3 .
For the rational number below, find its correct simple rational fraction.
87.36
87.36
87 36⁄10
87 35⁄100
87 36⁄100
87 1⁄36
87.36 is a rational number showing 87 as a whole number and then thirty-six one-hundredths or 36/100. Answer (c) 87 36⁄100 is the correct answer
4 .
For the rational number below, find its correct simple rational fraction.
63.75
63.75
63 3⁄4
63 75⁄10
63 7⁄5
63 1⁄75
63.75 is a rational number showing 63 as a whole number and then seventy-five one-hundredths or 63 75⁄100. 75/100 can then be simplified as being equal to 3/4. Answer (a) 63 3⁄4 is the correct answer
5 .
For the rational number below, find its correct simple rational fraction.
5
5
1/5
5/10
5/5
5/1
5 is a whole number. Answer (a) is one-fifth and not a whole number so it is not correct. Answer (b) shows five-tenths and it, too, is not correct. Answer (c) would equal the whole number “1” so it is not correct. Answer (d) shows there is one whole “5” and is the correct answer
6 .
For the rational number below, find its correct simple rational fraction.
4.6
4.6
4/6
4 6⁄10
4 6⁄100
46/100
4.6 is a rational number showing 4 as a whole number and then six-tenths or 4 6⁄10. Answer (b) is the correct answer
7 .
For the rational number below, find its correct simple rational fraction.
3.5
3.5
35/10
3 1⁄5
3 1⁄2
3 5⁄01
3.5 is a rational number showing 3 as a whole number and then five-tenths or 3 5⁄10. 5/10 can be simplified to 1/2 so Answer (c) 3 1⁄2 is the correct answer
8 .
For the rational number below, find its correct simple rational fraction.
.55
.55
55/1
1/55
1/0055
55/100
.55 is a rational number that equals 55/100 as the decimal point is two places to the left of the number “55”. Therefore, Answer (d) is correct
9 .
For the rational number below, find its correct simple rational fraction.
18.007
18.007
18 7⁄100
18 7⁄1000
18/007
18/700
18.007 is a rational number showing 18 as a whole number and then seven one-thousandths or 7/1000. Answer (b) 18 7⁄1000 is the correct answer
10 .
For the rational number below, find its correct simple rational fraction.
9
9
27/3
1/9
9/100
.09
9 is a whole number. Answer (b) is one-ninth and not a whole number so it is not correct. Answer (c) shows nine one-hundredths and it, too, is not correct. Answer (d) shows a decimal number and is not a fraction and it is not a whole number for “9”. Answer (a) shows, on the other hand, 27/3 which can be simplified to one whole “9” as 27 ÷ 3 = 9. Therefore, Answer (a) is the correct
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