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A customer spends 3/10 of a dollar on a pencil and 1/10 of a dollar on an eraser.
What fraction of a dollar was spent total? and how much money was spent in total?
4/10 or 2/5 of a dollar.
$0.40 was spent total.
A 1/4 of an hour has passed. How many minutes have passed?
How many minutes are left in the hour?
What is the fraction of time left in the hour?
1/4 of an hour is 15 minutes.
60−15=45
There are 45 minutes left in the hour, which is 3/4 of an hour.
Mia drinks 1/4 of a gallon of water in the morning and 1/2 of a gallon in the afternoon.
How much water did she drink in total? Show your thinking using pictures and words.
Sam drank 3/4 gallon of water.
Sarah has a bag with 2/4 of a pound of trail mix and a bag with 5/6 of a pound of granola.
She wants to combine them into one bag.
How many pounds of trail mix and granola will she have in total?
2/4 = 6/12
5/6 = 10/12
6/12 + 10/12 = 16/12 (1 and 4/12) >> (4/12=1/3)
She would have 1 and 1/3 pound of trail mix and granola.
A bakery offers 3 muffins for $5, and another shop sells 4 muffins for $7. Which deal gives you a lower cost per muffin?
3 muffins for $5: 5÷3=1.67
1.67 dollars per muffin.
4 muffins for $7: 7÷4= $1.75
1.75 dollars per muffin.
The first deal is better at $1.67 per muffin.
At the store, 1 Twix bar costs 75 cents, and 1 Hershey's Kiss costs 1/5 of that.
How much does 1 Hershey's Kiss cost?
How much does it cost in total to get one of each?
1/5 of $0.75 = 75 ÷ 5 (75 cents into 5 equal groups) = 15.
1 Hershey's Kiss is $0.15.
The cost of 1 Twix Bar and 1 Hershey's Kiss is $0.95.
A meeting lasts 2/3 of an hour. If 1/6 of an hour has already passed, how much time is left?
2/3 = 4/6 (both equal 40 minutes)
1/6 = 10 minutes
4/6 - 1/6 = 40 mins - 10 mins = 30 mins
30 mins is left in the meeting.
Jamal has 3/5 of a tank of gas. He uses 2/10 of the tank to drive to school.
How much gas is left? Use a number line to show how you solved this equation.
4/10 or 2/5 of the gas is left.
A bakery sells 3/5 of a cake in one order and 4/10 of a cake in another order.
How much cake did they sell in total?
3/5 = 6/10
4/10 + 6/10 = 10/10
They sold a whole cake in total.
A store sells 2 bottles of soda for $5, and a gas station offers 5 bottles for $7.50. Which deal has the better price per bottle?
2 bottles for $5: 5÷2 = $2.50 dollars per bottles
5 bottles for $7.50: 7.50÷5=1.50 dollars per bottle.
Answer: Second deal is a better buy because $1.50 is cheaper than $2.50.
You have $4.86, but you spend 1/2 of it.
How much money do you have left?
$4.86 = $4 and $0.86
$4 ÷ 2 = $2 $0.86 ÷ 2 = $0.43
$2 + $0.43 = $2.43
I would have $2.43 left.
During a workout, Jane spends 7/15 of an hour on running and 5/15 of an hour on biking.
What is the fraction amount of time she spent exercising total?
How much time did she spend exercising in total?
7/15 + 5/15 = 12/15
12/15 = 4/5
She spent 4/5 of an hour exercising in total.
This means she spent 48 minutes exercising in total.
Lisa hikes 2/5 of a mile and then hikes another 1/3 of a mile.
How far did Lisa hike? Show your thinking using a number line.
2/5 = 6/15
1/3 = 5/15
6/15 + 5/15 = 11/15
Lisa hiked 11/15 of a mile.
A gardener is replanting his garden. He uses 5/8lb from one bag of soil and 1/6lb from another of a bag.
How many lbs(pounds) soil did the gardener use in total?
5/8 = 15/24
1/6 = 4/24
15/24 + 4/24 = 19/24
The gardener used 19/24lbs (pounds) of the soil in total.
A supermarket sells 12 apples for $9, and a farmer’s market offers 8 apples for $6.40. Which deal is cheaper per apple?
12 apples for $9: 9 ÷12= 0.75 dollars per apple.
8 apples for $6.40: 6.40 ÷ 8 = 0.80 dollars per apple.
Answer: The first deal is better at $0.75 per apple.
A toy costs $3.75. You pay $2.50.
What fraction of a dollar remains unpaid?
How much money remains unpaid?
$2.50 = $2 & $0.50(50/100)
$3-$2 = $1
75/100 - 50/100 = 25/100
$1 + 25/100 = $1.25
The train journey was 5/6 of an hour, but the delay added 1/3 of an hour.
How long did the journey take? Remember to change any improper fractions to mixed numbers!
1/3 = 2/6
5/6 + 2/6 = 7/6
7/6 = 6/6 +1/6 (1 and 1/6)
The train journey took 1 and 1/6 hours to complete.
Jake builds a 2/3-foot fence and later extends it by 5/6 of a foot.
How long is the fence now? Show your thinking on a number line.
2/3 = 8/12
5/6 = 10/12
10/12 + 8/12 = 18/12 (1 and 6/12)
The fence is now 1 and 1/2 feet long.
At the farmers' market, a vendor sells 3/7 of a box of apples in the morning and 5/14 of a box in the afternoon.
How much of the box was sold in total?
3/7 = 6/14
4/14 + 6/14 = 10/14 >> 5/7
10/14 or 5/7 of the box was sold in total.
A pack of 6 chocolate bars costs $8, while a bulk box of 18 chocolate bars costs $20. Which deal is the better value?
6 chocolate bars for $8: 8÷6=1.33 dollars per bar.
18 chocolate bars for $20: 20÷18= $1.11 dollars per bar.
Answer: The second deal is better at $1.11 per bar.
I have 3/5 of a dollar and you have 2/10 of a dollar.
What is the fractional difference between our amounts?
Who has more money? How do you know?
3/5 = 60/100
2/10 = 20/100
60/100−20/100 = 40/100 = 20/50 = 2/5 difference.
I have $0.40 more than you do.
Sam started homework at 3:10 PM and finished at 4:00 PM.
What fraction of the hour did Sam work on his homework?
4:00 - 3:18 = 42 mins
42 out of 60 mins = 7/10 of an hour
Sam worked on his homework for 7/10 of an hour.
Emma has 1 1/4 yards of fabric but uses 3/8 of a yard for a sewing project.
How much does she have left? Use a number line or pictures to show your thinking.
1 1/4 = 1 2/8 = 8/8 + 2/8 = 10/8
10/8 - 3/8 = 7/8
Emma has 7/8 of a yard left.
A baker uses 1 2/3 cups of flour to make cookies and 2 1/6 cups to bake a cake.
How much flour did the baker use altogether?
1 2/3 = 1 4/6
2 1/6 + 1 4/6 = (2+1) + (1/6+4/6) = 3 and 5/6 cups
The baker used 3 & 5/6 cups of flour altogether.
At one gas station, 10 gallons of gas costs $35, and at another, 12 gallons costs $40. Which station offers the better price per gallon?
10 gallons for $35: 35÷10=3.50 dollars per gallon.
12 gallons for $40: 40÷12=3.33 dollars per gallon.
Answer: The second station is better at $3.33 per gallon.