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The symbol used to show percent is “%” so 17 percent would be 17%. The “17” is the “part” and the “%” is the whole which means that 17% can also be shown as 17/100.

__Converting Fractions to Percentages__:

To convert a fraction to a percentage you need to divide the numerator of the fraction by the denominator.

For example, let’s look at the fraction 5/8. The number “5” is the numerator and the number “8” is the denominator so we need to divide 5 by 8 or 5 ÷ 8 = 0.625. The 0.625 can then be rounded up. To do this you look at the last number on the right. In this case we have a “5”. When a number is 5 to 9, the number immediately before it gets rounded up. This would make the “2” become a “3”. If the last number to the right is a 0 to 4, we round the number immediately to the left down such as if the number were 0.821 it would become simply 0.082. In our case, 0.625 can be rounded up to read 0.63.

Now we must convert 0.63 (or .63 as we can take away the “0”) to a percentage. To do this we must move the decimal point two spaces to the right of its current position. This means .63 becomes 63. The decimal point is then converted back into the percentage symbol “%” so we have 63%. This shows us that 5/8 is the same as 63%.

1.

5/6 = __%

90%

83%

80%

78%

You must divide the numerator 5 by the denominator 6 so you will get 5 ÷ 6 = 0.833. As the last number is 3, we can round this number down to read 0.83. We can also eliminate the leading “0” to give us .83. .83 converts to 83/100 or we move the decimal point two spaces to the right to get 83 and then we add the percent symbol “%” giving us 83%. Answer (b) is the correct answer

2.

9/12 = __%

912%

9 12%

108%

75%

You must divide the numerator 9 by the denominator 12 so you will get 9 ÷ 12 = 0.75. We can drop the “0” before the decimal to give us .75. .75 converts to 75/100 or we move the decimal point two spaces to the right to get 75 and then we add the percent symbol “%” giving us 75%. Answer (d) is the correct answer

3.

2/6 = __%

2.6%

33%

26%

13%

You must divide the numerator 2 by the denominator 6 so you will get 2 ÷ 6 = 0.333. As the last number is 3, we can round this number down to read 0.33. We can also eliminate the leading “0” to give us .33. .33 converts to 33/100 or we move the decimal point two spaces to the right to get 33 and then we add the percent symbol “%” giving us 33%. Answer (b) is the correct answer

4.

2/3 = __%

23%

33%

67%

60%

You must divide the numerator 2 by the denominator 3 so you will get 2 ÷ 3 = 0.666. As the last number is 6, we can round this number up to read 0.67. We can also eliminate the leading “0” to give us .67. .67 converts to 67/100 or we move the decimal point two spaces to the right to get 67 and then we add the percent symbol “%” giving us 67%. Answer (c) is the correct answer

5.

14/28 = __%

50%

32%

42%

48%

You must divide the numerator 14 by the denominator 28 so you will get 14 ÷ 28 = 0.50. We can also eliminate the leading “0” to give us .50. .50 converts to 50/100 or we move the decimal point two spaces to the right to get 50 and then we add the percent symbol “%” giving us 50%. Answer (a) is the correct answer

6.

7/8 = __%

88%

78%

75%

73%

You must divide the numerator 7 by the denominator 8 so you will get 7 ÷ 8 = 0.875. As the last number is 5, we can round this number up to read 0.88. We can also eliminate the leading “0” to give us .88. .88 converts to 88/100 or we move the decimal point two spaces to the right to get 88 and then we add the percent symbol “%” giving us 88%. Answer (a) is the correct answer

7.

10/100 = __%

1000%

1%

100%

10%

You must divide the numerator 10 by the denominator 100 so you will get 10 ÷ 100 = 0.10. We can also eliminate the leading “0” to give us .10. .10 converts to 10/100 or we move the decimal point two spaces to the right to get 10 and then we add the percent symbol “%” giving us 10%. Answer (d) is the correct answer

8.

4/5 = __%

45%

80%

65%

75%

You must divide the numerator 4 by the denominator 5 so you will get 4 ÷ 5 = 0.80. We can drop the “0” before the decimal to give us .80. .80 converts to 80/100 or we move the decimal point two spaces to the right to get 80 and then we add the percent symbol “%” giving us 80%. Answer (b) is the correct answer

9.

7/9 = __%

78%

79%

7.9%

.79%

You must divide the numerator 7 by the denominator 9 so you will get 7 ÷ 9 = 0.777. As the last number is 7, we can round this number up to read 0.78. We can also eliminate the leading “0” to give us .78. .78 converts to 78/100 or we move the decimal point two spaces to the right to get 78 and then we add the percent symbol “%” giving us 78%. Answer (a) is the correct answer

10.

12/16 = __%

28%

1.22%

75%

65%

You must divide the numerator 12 by the denominator 16 so you will get 12 ÷ 16 = 0.75. We can also eliminate the leading “0” to give us .75. .75 converts to 75/100 or we move the decimal point two spaces to the right to get 75 and then we add the percent symbol “%” giving us 75%. Answer (c) is the correct answer