Answer:
7/12
Step-by-step explanation:
The first step is converting the mixed fractions to improper fractions (meaning there will be more in the numerator than denominator). So:
2 & 1/3 is equal to 6/3 + 1/3 = 7/3, since we take the whole number and multiply it by the denominator, then put it over the denominator. Another way of looking at this is what divided by the denominator (3) will get us 2, which, in this case, is 3. Then 1 & 3/4 is 4/4 + 3/4 = 7/4.
The next step is: when subtracting fractions, the denominators must always be the same. So you must set the denominators of 7/3 & 7/4 to be the same, by finding the least common denominator. In this case, it is 12, since 4 & 3 can both be multiplied to get 12.
[tex]\frac{7}{3} * \frac{4}{4} = \frac{28}{12}[/tex]
and
[tex]\frac{7}{4} * \frac{3}{3} = \frac{21}{12}[/tex]
Then, you take the difference between these two fractions:
[tex]\frac{28}{12} - \frac{21}{12} = \frac{7}{12}[/tex]
So, your final answer is 7/12.
Hopefully this helped you understand the topic better, sorry if my explanation is a little confusing. Good luck in your studies & have a wonderful day!
