a Find the common denominators to add the fractions.
B
b Convert the mixed numbers into improper fractions to make the operations easier.
C
c Convert the mixed numbers into improper fractions to make the operations easier.
D
d Convert the mixed numbers into improper fractions to make the operations easier.
E
e Convert the mixed numbers into improper fractions to make the operations easier.
F
f Convert the mixed numbers into improper fractions to make the operations easier.
A
a - 1924
B
b 4 56
C
c 1 25
D
d -2 23
E
e -3 712
F
f 2 621
Practice makes perfect
a Start with creating common denominators to add the fractions. We can do this by using the fact that 24 is a multiple of 3 and 8. Let's rewrite both fractions with 24 as their denoinators.
b The calculations for this expression will be easier if we first convert both mixed numbers to their improper fraction form. Let's do this for 3 12 first.
Now that we have both mixed numbers written as improper fractions, it is much easier to add them. However, the denominators are not the same, so we cannot subtract them just yet. We can create common denominators by using the fact that 6 is a multiple of 2 and 3. Let's rewrite both fractions with 6 as their denominators.
7/2= 7*3/2* 3 = 21/6
-4/3=-4*2/3*2=-8/6
Now we can subtract the fractions.
e Once more, we will start by converting both mixed numbers to their improper fraction form.
& 1 34 = 7/4
&-5 13 = - 16/3
Now that we have both mixed numbers written as improper fractions, it is much easier to add them. However, the denominators are not the same, so we cannot add them just yet. We can create common denominators by using the fact that 12 is a multiple of 4 and 3. Let's rewrite both fractions having 12 as their denominators.
& 7/4= 7*3/4* 3 = 21/12
&-16/3=-16*4/3*4=-64/12
Now we can add the fractions.
f One last time, we will start by converting both the mixed numbers to their improper fraction form.
-22/3 = - 8/3
-11/6 = -7/6Now we can perform the division. Remember, to divide fractions, we can instead multiply the first fraction by the reciprocal of the second.
