# Percentages as Fractions and Decimals (1)

In this worksheet, students recognise the percent symbol (%) and understand that percent relates to ‘number of parts per hundred’, writing percentages as fractions with denominator 100, and as a decimal.

Key stage:  KS 2

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Recognise Percentages

Difficulty level:

### QUESTION 1 of 10

The symbol % stands for 'per cent' or 'percent', which means 'out of a hundred'.

'Cent' is the French for 'hundred' and the % looks a bit like two zeros with a 1 through them... 0|0.

We can easily convert between percentages, fractions and decimals.

45% (45 percent)  is equal  to 45/100 (45 hundredths)  =  0.45

78% (78 percent)  is equal  to 78/100 (78 hundredths)  =  0.78

5% (5 percent)  is equal  to 5/100 (5 hundredths)  =  0.05

40% (40 percent)  is equal  to 40/100 (40 hundredths)  =  0.40 = 0.4

(Remember to change 0.40 to 0.4 in the last example as the final zero is not needed.)

Change 47% to a fraction.

(Use the / symbol without any spaces, e.g. 55/100.)

Change 47% to a decimal.

(Leave off any zeros at the end, if you can.)

Change 99% to a fraction.

(Use the / symbol without any spaces, e.g. 55/100.)

Change 99% to a decimal.

(Leave off any zeros at the end, if you can.)

Change 19% to a fraction.

(Use the / symbol without any spaces, e.g. 55/100.)

Change 20% to a decimal.

(Leave off any zeros at the end, if you can.)

Change 40% to a fraction (hundredths).

(Use the / symbol without any spaces, e.g. 55/100.)

Change 40% to a decimal.

(Leave off any zeros at the end, if you can.)

Change 7% to a fraction.

(Use the / symbol without any spaces, e.g. 55/100.)

Change 7% to a decimal.

(Leave off any zeros at the end, if you can.)

• Question 1

Change 47% to a fraction.

(Use the / symbol without any spaces, e.g. 55/100.)

47/100
EDDIE SAYS
47 out of 100
• Question 2

Change 47% to a decimal.

(Leave off any zeros at the end, if you can.)

0.47
EDDIE SAYS
47 hundredths = 0.47
• Question 3

Change 99% to a fraction.

(Use the / symbol without any spaces, e.g. 55/100.)

99/100
EDDIE SAYS
99 out of 100
• Question 4

Change 99% to a decimal.

(Leave off any zeros at the end, if you can.)

0.99
EDDIE SAYS
99 hundredths = 0.99
• Question 5

Change 19% to a fraction.

(Use the / symbol without any spaces, e.g. 55/100.)

19/100
EDDIE SAYS
19 out of 100
• Question 6

Change 20% to a decimal.

(Leave off any zeros at the end, if you can.)

0.2
EDDIE SAYS
20 hundredths = 0.20 = 0.2
• Question 7

Change 40% to a fraction (hundredths).

(Use the / symbol without any spaces, e.g. 55/100.)

40/100
4/10
EDDIE SAYS
40 out of 100. You can also simplify this to 4/10.
• Question 8

Change 40% to a decimal.

(Leave off any zeros at the end, if you can.)

0.4
EDDIE SAYS
40 hundredths = 0.40 = 0.4
• Question 9

Change 7% to a fraction.

(Use the / symbol without any spaces, e.g. 55/100.)

7/100
EDDIE SAYS
7 out of 100
• Question 10

Change 7% to a decimal.

(Leave off any zeros at the end, if you can.)

0.07
EDDIE SAYS
7 hundredths = 0.07
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