Writing Fractions
Express 6 divided by 8 as a fraction in simplest form.
3/4
1/2 + 3/7 in simplest form
13/14
1/2 - 1/4 in simplest form
1/4
What is the value of 4 1/3 + 2 5/12?
6 9/12 = 6 3/4
What is the difference between 4 3/5 and 1 1/2?
3 1/10
Express 10 divided by 3 as a fraction in simplest form.
10/3 = 3 1/3
1/6 + 3/10 in simplest form
28/60 = 14/30 = 7/15
4 1/2 - 1 1/4 in simplest form
3 1/4
Dylan walked 3/4 mile from home to the bus stop and traveled 8 2/5 miles on the bus to get to school. How far away is the school from Dylan's home?
3 /4 + 8 2/5 = 15/ 20 + 8 8/20
= 8 23/20
= 9 3/20 miles
Sam and Mason had a race around the park which was 5 miles long. Sam finished the race in 1 2/5 hours while Mason finished 1/6 hour later. How long did it take Mason to run 5 miles?
1 2/5+ 1/6=
1 12/30 + 5/30
= 1 17/30 hours
Write 4/11 as a division expression.
4 divided by 11 (with division sign)
Use benchmark fractions to estimate 7/9 + 4/7 + 1/6
7/9 = 1
4/7 = 1/2
1/6 = 0
1 + 1/2 + 0 = 1 1/2
Use benchmark fractions to estimate 7/9 - 3/7
7/9 = 1
3/7 = 1/2
1 - 1/2 = 1/2
Share 5 tarts equally among 8 children. What fraction of a fruit tart will each child receive?
Use circle fractions to help solve.
5/8 of a fruit tart
Estimate the sum of 7/12, 1/3, and 1/6.
Use benchmark fractions to help.
7/12 = 1/2
1/3 = 1/2
1/6 = 0
1/2 + 1/2 + 0 = 1
Write 6/11 as a division expression.
6 divided by 11 (with division sign)
2 1/6 + 3 9/10 in simplest form
5 32/30 = 6 2/30 = 6 1/15
5 - 2 3/8 in simplest form
2 5/8
Grace gives her friend the following expression with some clue.
# - # #/#
Clues:
There is one mixed number in simplest form.
The digits 3, 5, 6, and 9 are used only once.
The difference between the two numbers must be the greatest possible difference.
Find the greatest possible difference between the two numbers.
9 - 3 5/6 = 5 1/6
Maya baked an apple pie. She gave 1/6 of it to her friend and 7/10 of it to her sister. What fraction of her apple pie did she have left?
21/30 + 5/30 = 26/30
30/30 - 26/30 = 4/30
= 2/15
Write 125 divided by 6 as a fraction in simplest form.
125/6 = 20 5/6
6 1/3 + 4 3/4 in simplest form
10 13/12 = 11 1/12
12 - 7 5/10 in simplest form
4 5/10 = 4 1/2
Vijay had 5 1/3 pounds of flour. He bought another 2 3/5 pounds of flour. Vijay planned to bake some cakes for a party. He needs 7 1/5 pounds of flour.
Does Vijay have enough flour? How much flour does he have left, or how much more does he need to buy?
5 1/3 + 2 3/5 = 7 1/3 + 3/5
= 7 5/15 + 9/15 = 7 14/15
Yes, he has enough
7 14/15 - 7 1/5 = 14/15 - 3/15 = 11/15 pounds of flour
The height of an adult Indian elephant is 8 1/5 feet. The height of a calf is 4 3/4 feet less than the height of the adult elephant. Jason says that the height of the calf is 3 9/20 feet.
Is Jason correct?
Explain and show your work.
Bar model with adult Indian elephant and bar model with calf
8 1/5 - 4 3/4 = 8 4/20 - 4 15/20
= 7 24/20 - 4 15/20
= 3 9/20 feet