Examples with solutions for Addition and Subtraction of Mixed Numbers: One of the denominators is the common denominator

Exercise #1

756+623+13= 7\frac{5}{6}+6\frac{2}{3}+\frac{1}{3}=

Video Solution

Step-by-Step Solution

Note that the right addition exercise between the fractions gives a result of a whole number, so we'll start with it:

623+13=7 6\frac{2}{3}+\frac{1}{3}=7

Now we get:

756+7=1456 7\frac{5}{6}+7=14\frac{5}{6}

Answer

1456 14\frac{5}{6}

Exercise #2

328134= 3\frac{2}{8}-1\frac{3}{4}=

Video Solution

Answer

112 1\frac{1}{2}

Exercise #3

243112= 2\frac{4}{3}-1\frac{1}{2}=

Video Solution

Answer

156 1\frac{5}{6}

Exercise #4

456+1112= 4\frac{5}{6}+1\frac{1}{12}=

Video Solution

Answer

51112 5\frac{11}{12}

Exercise #5

114+212= 1\frac{1}{4}+2\frac{1}{2}=

Video Solution

Answer

334 3\frac{3}{4}

Exercise #6

123+126= 1\frac{2}{3}+1\frac{2}{6}=

Video Solution

Answer

3 3

Exercise #7

619223= 6\frac{1}{9}-2\frac{2}{3}=

Video Solution

Answer

349 3\frac{4}{9}

Exercise #8

335+1115= 3\frac{3}{5}+1\frac{1}{15}=

Video Solution

Answer

423 4\frac{2}{3}

Exercise #9

12149+237= 12\frac{1}{49}+2\frac{3}{7}=

Video Solution

Answer

142249 14\frac{22}{49}

Exercise #10

31321415= 3\frac{1}{3}-2\frac{14}{15}=

Video Solution

Answer

25 \frac{2}{5}

Exercise #11

3516+658= 3\frac{5}{16}+6\frac{5}{8}=

Video Solution

Answer

91516 9\frac{15}{16}