Question

Show work for this fraction 1 2/3-3/4

Answer 1

`1\frac23-\frac34`

Write 1 2/3 as an improper fraction...
1 = 3/3. Plus the 2/3 makes 5/3.


`\frac53-\frac34`

To add/subtract fractions, they need the same denominator. (bottom number)

We can change the denominator by multiplying the top and bottom of a fraction by the same number. (it will stay equal, like 1/2 and 2/4)

Let's change 5/3 and 3/4 to a denominator of 12.

5/3 = 20/12 (bottom multiplies by 4, so does the top)
3/4 = 9/12 (bottom multiplies by 3, so does the top)


`(20)/(12)-\frac9{12}`

Now we just subtract the 20 minus 9 twelfths. (the twelfths act as a sort of unit)


`\boxed{(11)/(12)}`