Fractions, Decimals and Percentages

Question 1

How do you find fractions of amounts?

Answer 1

Divide by the bottom, times by the top

Question 2

How do you convert from mixed numbers to improper fractions?

Answer 2

Multiply the whole number by the bottom of the fraction
Add on the top number - this gives the number of the top of the improper fraction
Keep the bottom the same

Question 3

How do you convert from improper fractions to mixed numbers?

Answer 3

Divide the top number by the bottom
Put the whole number at the front of the mixed number
Put the remainder on the top of fraction
Keep the bottom the same

Question 4

How do you find % of amounts using a calculator?

Answer 4

Turn the % into a decimal then times by the number

45% of 60 = 0.45 x 60 = 27

Question 5

How do you convert a decimal into a %?

Answer 5

Times the decimal by 100

Question 6

How do you convert a percentage into a decimal?

Answer 6

Divide the % by 100

Question 7

How do you convert a fraction into a %?

Answer 7

Find that fraction of 100%

4/5 –> 100 ? 5 x 4 = 80%

Question 8

What do you need to remember when adding/subtracting fractions?

Answer 8

You must make bottom number (denominator) must be the same before trying to add or subtract
Convert any mixed numbers into improper fractions before trying to add or subtract

Question 9

How do you multiply fractions?

Answer 9

Multiply the tops (numerators) and multiply the denominators (bottom). You must then simplify!

Question 10

How do you divide fractions?

Answer 10

To divide fractions, flip the dividing (second) fraction then multiply.
KFC - Keep the first, Flip the second, Change the operation

Question 11

How can I tell if a fraction will be a recurring or terminating decimal?

Answer 11

Use the factor tree
If the circled numbers in the factor tree are only 2s and 5s, it’s terminating
If not, it’s recurring

Question 12

How do you convert 0.88888… into a fraction?

Answer 12

Call it x (x = 0.88888….)
Times it be 10 (10x = 8.8888….)
Subtract (9x = 8)
Divide by 9 to give x (x = 8/9)

Question 13

How do you convert 0.63636363… into a fraction?

Answer 13

Call it x (x = 0.636363....)
Times it be 100 (100x = 63.636363....)
Subtract (99x = 63)
Divide by 99 to give x (x = 63/99)
Simplify (x=21/33)

Question 14

How do you convert 0.123123123… into a fraction?

Answer 14

Call it x (x = 0.123123123....)
Times it be 1000 (1000x = 123.123123....)
Subtract (999x = 123)
Divide by 999 to give x (x = 123/999)
Simplify (x=41/333)