Converting between Fractions, Decimals and Percentages

Question 1

How do you convert a non-recurring decimal into a fraction?

Answer 1

You look at the smallest place value and put that as your denominator. You then put the decimal as a whole number on top. You then simplify this.

Question 2

How do you convert a fraction into a decimal or a percentage?

Answer 2

You complete the division in the fraction as short division. To get the percentage, multiply this by 100.

Question 3

How do you convert a percentage into a decimal or fraction?

Answer 3

To get a decimal, just divide the percentage by 100. Then follow the decimal method to get the fraction.

Question 4

How do you notate a recurring decimal?

Answer 4

You put dots over the digits that recur.

Question 5

How do you convert a recurring decimal into a fraction?

Answer 5

Use algebra. Firstly, state that x=the decimal. Then multiply x by 10 to the power of the number of digits that recur. Then, subtract x to get a whole number before dividing by the coefficient to get x.