Word Problems
Tiffany bought 2/5 kg of cherries. Linda bought 1/10 kg of cherries less than Tiffany. How many kg of cherries did they buy altogether?
Tiffany and Linda had 7/10kg cherries together!
2/5-1/10= 4/10-1/10=3/10
let's add Tiffany's and Linda's cherries to find how many kg of cherries they bought altogether:
3/10+2/5= 4/10+3/10=7/10
Adding Fractions
1/8 + 3/4
7/8
Subtracting Fractions
4/5 - 3/5
1/5
What is the first step when solving adding and subtracting fractions with unlike denominators?
Find a common denominator.
Christine baked a pumpkin pie. She ate 1/6 of the pie. Her brother ate 1/3 of it, and gave the left overs to his friends. What fraction of the pie did he give to his friends?
Christine's brother gave the remaining 1/2 to his friends.
1/6+1/3= 1/6+2/6=3/6: Christine and her brother ate 3/6 which simplifies to 1/2
1-1/2= 1/2
Adding Fractions
3/4 + 2/6
13/12 or 1 1/12
Subtracting Fractions
2/8 - 5/40
5/40 or 1/8
What is the second step when adding and subtracting fractions with unlike denominators?
Find equivalent fractions
Convert the fractions so they have the same denominator
Mr. Rivas bought a can of paint. He used 3/8 of it to paint a book shelf. He used 1/4 of it to paint a wagon. He used some of it to paint a bird house, and have 1/8 of paint left. How much paint did he use for the bird house?
Mr. Rivas used 1/4 of the paint to paint the bird house.
3/8+ 1/8+ 1/4= 4/8+1/4
4/8 can be simplified to 2/4
2/4+ 1/4= 3/4
We know that there is 1 bird house so:
4/4- 3/4=1/4
Adding Fractions
5/8 + 6/16
16/16 or 1
Subtracting Fractions
6/16 - 1/8
4/16 or 1/4
What is the third step when adding and subtracting fractions with unlike denominators?
Add or subtract
Ribbon A is 1/3 m long. It is 2/5 m shorter than ribbon B. What’s the total length of two ribbons?
The total length of the two ribbons is 16/15 meters, which is equal to 1 meter and 1/15 meter.
1/3+ 1/3+ 2/5= 2/3+2/5
10/15+6/15= 16/15 or 1 1/15
Adding Fractions
7/15 + 4/5
19/15 or 1 4/15
Subtracting Fractions
16/20 - 2/4
6/20 or 3/10
What is the fourth step when adding and subtracting fractions with unlike denominators?
Simplify the answer
Ramil and Carly collected the honey from 4 of his beehives. From the first hive they collected 1/3 gallon of honey.
The last three hives yielded 1/4 gallon each.
How many gallons of honey did Ramil and Carly collect in all? Draw a diagram to support your answer.
Ramil and Carly used 1/3 gallon of honey for baking.
1/4+ 1/4+ 1/4= 3/4
3/4+ 1/3
4/12+ 9/12=13/12
13/13=1
what's left is: 1/12
Adding Fractions
8/5 + 6/10
22/10 or 2 1/5
Subtracting Fractions
7/8 - 3/6
9/24 or 3/8
What is the fifth step with adding or subtracting fractions with unlike denominators?
Check your answer/work