Question

1/4 + 23/28 - 1

please help

Answer 1

`(1)/(14)`

Explanation:

`(1)/(4) + (23)/(28) - 1 = ?`

First off, let's change everything to a common denominator. This will allow us to add the fractions!

To find a common denominator, we find a number that both 4, 28, and 1 can go into. 28 is the best choice, as 4 goes into it 7 times, 28 goes into it once, and 1 goes into it 28 times.

Let's change the first fraction into a number with a denominator of 28!

`(1)/(4) * (7)/(7) = (7)/(28)`

`(7)/(7)` = 1. Multiplying a number by one doesn't change its value.

The second fraction,
`(23)/(28)`, already has a denominator of 28, so we don't have to do anything with it.

Now to the third number, -1:

`-1 = -(1)/(1) * (28)/(28) = -(28)/(28)`

Now, let's add them all up!

`(7)/(28) + (23)/(28) - (28)/(28) = (7 + 23 - 28)/(28) = (2)/(28)`

One last step, to simplify:

`(2)/(28) = (1)/(14)`

Your answer is 1/14!