Word Problems
+/- with Unlike Denominators
Adding Mixed Numbers with Unlike Denominators
Subtracting Mixed Numbers with Unlike Denominators
Improper Fractions and Mixed Numbers
Vocabulary for Working with Fractions
100

It usually took Josh 2/5 of an hour to ride his bike towork. But on Monday, his bike was broken, so he took the bus to work which took 5/8 of an hour. How much longer was it to take the bus to work?

Taking the bus to work was 9/40 of an hour longer.  

100
1/4 + 5/8
7/8
100
4 1/6 + 9 2/3
13 5/6
100
7 3/4 - 1 1/12
6 2/3
100

What is 8/7 written as a mixed number?

1 and 1/7

100

3 and 4/6 is an example of a ____________

Mixed Number
200

Patricia wanted to increase her weight from 32 3 8 kgs to 39 1 2 kgs in 3 months. Through proper exercise and diet, she gained 4 3 4 kgs. What is Patricia’s new weight?  

Patricia’s new weight is 37 1 8 kgs

200
2/5 + 1/2
9/10
200

8 1/4 + 8 5/6

17 1/12

200
11 1/2- 7 3/8
4 1/8
200

What is 1 and 2/3 written as an improper fraction? 

5/3

200

12/7 is an example of an _______________.

improper fraction

300

For a class experiment, Albert's class weighed a log before and after subjecting it to termites. Before subjecting it to termites, the log weighed 5/6 of a pound. After the termites, the log weighed 7/12 of a pound. How much weight did the termites take from the log?

3/12 of a pound or 1/4 of a pound

300
7/12 - 1/2
1/12
300

8 4/6 + 4 3/5

13 4/15

300

17  -  8 2/3

8 1/3

300

What is 14/3 written as a mixed number?

4 and 2/3

300

Fractions must have the same _________ before adding or subtracting. (Hint: This is the 1st step when adding or subtracting fractions)

denominator

400

Isabella went to the salon and had 1/4 of an inch of hair cut off. The next day she went back and asked for another 5/8 of an inch to be cut off. How much hair did she have cut off in all?

7/8 of an inch cut off

400
5/6 - 2/12
3/4
400

8 7/9 + 2 2/3

11 12/27

400
7 4/5 - 2 9/10
4 9/10
400

What is 8 and 20/21 written as an improper fraction? 

188/21

400

If you have to borrow when subtracting mixed numbers, borrow from the __________ and then add the ________ to the numerator. 

Whole number and denominator 

500

Each day, the polar bear at Monroe's zoo eats 1 5/8 buckets of trout and 1 1/4 buckets of salmon. How many buckets of fish does the polar bear eat daily?

The polar bear eats 2 and 7/8 nuckets of fish 

500
3/12 - 1/8
1/8
500

10 5/6 + 8 14/15

19 23/30

500
9 1/2 - 5 8/12
3 5/6
500

what is 154/13 written as a mixed number?

11 and 11/13

500

When adding or subtracting fractions with unlike denominators you must first find the ________ or LCM of both denominators. 

Least Common Mutliple 
M
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