Question

O FRACTIONSWriting unit fractions with a common denominator to add or...11Let's find312First, write the subtraction so the fractions have denominator 12.Then subtract.113121212?

Answer 1

Step 1

Given;

`(1)/(3)-(1)/(12)`

Required; To write the subtraction so that the denominators are all 12. Then subtract.

Step 2

Use equivalent fractions to make the denominator of 1/3 12

`\begin{gathered} (1)/(3)=(x)/(12) \\ 12=3x \\ (3x)/(3)=(12)/(3) \\ x=4 \end{gathered}`

Therefore, we will have;

`(1)/(3)-(1)/(12)=(4)/(12)-(1)/(12)`
`(4)/(12)-(1)/(12)=(3)/(12)=(1)/(4)`

The answer will thus be;

`(1)/(3)-(1)/(12)=(4)/(12)-(1)/(12)=\frac{3}{12\text{ }}\text{ which is =}(1)/(4)`

Answer = 3/12 or 1/4 when reduced