Answer:
[tex]\frac{1}{14}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4} + \frac{23}{28} - 1 = ?[/tex]
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!
[tex]\frac{1}{4} * \frac{7}{7} = \frac{7}{28}[/tex]
[tex]\frac{7}{7}[/tex] = 1. Multiplying a number by one doesn't change its value.
The second fraction, [tex]\frac{23}{28}[/tex], already has a denominator of 28, so we don't have to do anything with it.
Now to the third number, -1:
[tex]-1 = -\frac{1}{1} * \frac{28}{28} = -\frac{28}{28}[/tex]
Now, let's add them all up!
[tex]\frac{7}{28} + \frac{23}{28} - \frac{28}{28} = \frac{7 + 23 - 28}{28} = \frac{2}{28}[/tex]
One last step, to simplify:
[tex]\frac{2}{28} = \frac{1}{14}[/tex]
Your answer is 1/14!
