Order of Operations
8 + 3² × 2
26
1/2 ÷ 1/4
1/2 × 4/1
= 2
Maria has $20.00. She buys a notebook for $4.50 and two pencils that cost $1.25 each.
How much money does she have left?
Two pencils = 1.25 × 2 = $2.50
Total spent = 4.50 + 2.50 = $7.00
Money left = 20.00 − 7.00 = $13.00
In the 5th grade, there are 3 boys for every 2 girls.
There are 55 students total.
If 6 girls wear glasses, how many girls do NOT wear glasses?
Ratio parts: 3 + 2 = 5 parts
Each part = 55 ÷ 5 = 11
Girls = 2 parts = 2 × 11 = 22 girls
Girls not wearing glasses = 22 − 6 = 16
How many hours are in 6 days?
How many hours are in 6 days?
6 × 24 = 144 hours
(6² ÷ 3) + 4
= (36 ÷ 3) + 4
= 12 + 4
= 16
3/5 ÷ 2/3
3/5 × 3/2
= 9/10
Emma earns $5.50 each time she walks her neighbor’s dog.
If she walks the dog 4 times and then buys a snack for $3.25,
how much money does she have now?
At the animal shelter the ratio of cats to dogs is 1 to 4.
There are 50 animals total.
If 10 of the dogs are adopted, how many dogs are left?
Cats to dogs is 1 to 4. There are 50 animals total. If 10 dogs are adopted, how many dogs are left?
Ratio parts: 1 + 4 = 5 parts
Each part = 50 ÷ 5 = 10
Dogs = 4 parts = 4 × 10 = 40 dogs
Dogs left after adoption = 40 − 10 = 30
How many minutes are in 2 hours and 15 minutes?
2 hours = 120 minutes
120 + 15 = 135 minutes
5 × (9 − 2²)
= 5 × (9 − 4)
= 5 × 5
= 25
5/6 ÷ 3/4
= 5/6 × 4/3
= 20/18
= 10/9
A lemonade stand sells cups of lemonade for $1.50 each.
On Saturday, they sell 8 cups, and on Sunday, they sell 5 cups.
If they spend $4.00 on lemons, how much profit do they make?
Total sold = 8 + 5 = 13 cups
Money made = 13 × 1.50 = $19.50
Profit = 19.50 − 4.00 = $15.50
A school club has 2 teachers for every 5 students.
There are 63 people total in the club.
If 8 students are absent today, how many students are present?
Ratio of teachers to students is 2 to 5. There are 63 total people. If 8 students are absent, how many students are present?
Ratio parts: 2 + 5 = 7 parts
Each part = 63 ÷ 7 = 9
Students = 5 parts = 5 × 9 = 45 students
Students present = 45 − 8 = 37
✔ Answer: 37 students are present.
A school field trip lasts 7 hours and 20 minutes.
How many minutes long is the trip?
7 hours = 420 minutes
420 + 20 = 440 minutes
12 − 2 × (7² ÷ 7)
= 12 − 2 × (49 ÷ 7)
= 12 − 2 × 7
= 12 − 14
= –2
4 1/2 ÷ 3/5
Convert 4 1/2 → 9/2
= 9/2 × 5/3
= 45/6
= 15/2
= 7 1/2
Total muffins sold = 15 + 12 = 27
Money made = 27 × 2.25 = $60.75
Profit = 60.75 − 10.50 = $50.25
There are 4 green balloons for every 3 red balloons at a party.
There are 49 balloons total.
If 5 green balloons popped, how many green balloons are still left?
Ratio parts: 4 + 3 = 7 parts
Each part = 49 ÷ 7 = 7
Green balloons = 4 parts = 4 × 7 = 28 green
Green balloons left = 28 − 5 = 23
✔ Answer: 23 green balloons are left.
A movie marathon lasts 9 hours and 30 minutes.
How many seconds long is the marathon?
Step 1: Convert hours to seconds
9 hours × 60 minutes = 540 minutes
540 minutes × 60 seconds = 32,400 seconds
Step 2: Convert the extra 30 minutes to seconds
30 minutes × 60 seconds = 1,800 seconds
Step 3: Add them together
32,400 + 1,800 = 34,200 seconds
(18 ÷ 3²) + (20 − 6)
= (18 ÷ 9) + 14
= 2 + 14
= 16
6 2/5 ÷ 2 1/5
Convert 6 2/5 → 32/5
Convert 2 1/5 → 11/5
= 32/5 × 5/11
= 32/11
= 2 10/11
A class is raising money by selling gift bags.
Each gift bag costs $4.75, and they sell 28 bags.
They must pay $25.60 for supplies and want to divide the remaining money
equally among 8 students who helped.
How much money does each student receive?
Money earned = 28 × 4.75 = $133.00
Money after supplies = 133.00 − 25.60 = $107.40
Money per student = 107.40 ÷ 8 = $13.43 each
A pet shelter has cats and dogs in the ratio 5 : 8.
There are 104 animals total.
If the shelter adopts out 12 dogs and then rescues 15 new cats,
what is the final number of animals at the shelter?
Step 1: Find the initial numbers.
Ratio parts = 5 + 8 = 13 parts
Each part = 104 ÷ 13 = 8
Cats = 5 × 8 = 40
Dogs = 8 × 8 = 64
Step 2: Update the totals with the changes.
Dogs after adoption: 64 − 12 = 52
Cats after rescues: 40 + 15 = 55
Step 3: Add totals.
Final number of animals = 55 + 52 = 107
✔ Final number of animals = 107
How many hours are in 4 weeks and 2 days?
How many hours are in 4 weeks and 2 days?
Step 1: Convert weeks to days
4 weeks = 4 × 7 = 28 days
Step 2: Add the extra 2 days
28 + 2 = 30 days
Step 3: Convert days to hours
30 days × 24 hours = 720 hours