Fraction Fun
Simplify: 36 / 48
3/4
The largest number that both 36 and 48 are divisible by is 12.
36 / 12 = 3
48 / 12 = 4
There are 3.5 billion women in the world. Who is the most beautiful woman in the world and what fraction of the women in the world does she represent?
Who is mommy? What is 1/3,500,000,000
Solve: 3 + 4 x 5
3 + 20
23
PEMDAS
36 x 42
1512
Solve for X: 3x - 12 = 24
4
What minus 12 = 24? 12.
3 times what = 12? 4.
Add: 1/3 + 1/2
5/6
Find the lowest common denominator (6)
1/3 = 2/6, and 1/2 = 3/6.Add fractions with like denominators:
2/6 + 3/6 = 5/6.
Andrew and Ben have 12.5 minutes left to play. Mommy says she will triple the time left towards playtime if they do their laundry first. How many minutes would they have to play if they do their laundry first?
12.5 x 3 =
(12x3)+(.5x3) =
36 + 1.5 =
37.5 minutes
Solve: 7 + (2 x 4) - 1
14
7+8-1 = 14
3. $24 (total money) / $8 (price per pack)= $3
Solve for X: 3/4 ÷ 1 1/2 = X
3/4 ÷ 1 1/2 (or 3/2) = X
3/4 ÷ 3/2 = 3/4 x 2/3
3/4 x 2/3 = 6/12 or 1/2
Write as a proper fraction: 11/4
There are 2 whole numbers in 11/4 (4/4 + 4/4, or 8/4, which is 2. Then there is 3/4 leftover. So 2 3/4.
There's a new game coming out that costs $50. It will go on sale soon for 30% off. How much will it cost when it's on sale?
$35
50 x .3 = 15 (dollars off)
50-15 = 35 (total dollars on sale)
Solve: 56 ÷ (4+4) + 32
16
56 ÷ (8) + 9 =
7 + 9 =
16
Andrew received $100 for his birthday. He wants to buy new airplanes on Flight Simulator. They are $29 each. How many new airplanes can he afford to buy? How much will he have leftover?
He can afford to buy 3.
He will have $13 leftover:
($100) - (3)($29) =
$100 - $87 = $13
Solve for X:
3X + 4 = 2X+ 6
10
3X + 4 = 2X+ 6
3X = 2X + 6 - 4
3X = 2X + 2
3X-2X = 2
1X (or X) = 2
Write as an improper fraction: 2 5/8
21/8
Train A and Train B are starting from the same point. Train A is going west at 50 miles per hour. Train B is going east at 75 miles per hour. How far apart will they be after 2 hours?
250 miles.
Train A will have traveled 100 miles west, Train B will have traveled 150 miles. 100 + 150 = 250.
Solve: 20 – (5+3) x 2 + 4
8
20 - 8 x 2 + 4
20 - 16 + 4
4 + 4
8
The Hing Family want to do lots of fun things in 2023. They have $5000 to spend the entire year on their travel budget. Below are the costs of things they want to do:
$2000 - Cruise
$800 - Weekend in New York
$100 - Each time they go out to dinner
How many times can they eat out if they spend money on both a Cruise and a weekend in NY?
22 times.
$5000 - ($2000 + 800) =
$5000 - $2800 = $2200 (leftover after cruise / NY)
Then,
$2200 / $100 (each time they go out to dinner) = 22
Daddy has a glass of water. The diameter of the round glass is 4". The height of water is 4". What is the formula to calculate the volume of water? Bonus double points - what is the volume?
V = 3.14 x 22 x 4
V = 3.14 x 4 x 4
V = 50.24"2
Divide: 3/5 ÷ 1/2
Divide: 3/5 ÷ 1/2
1. 3/5 x 2/1 = 6 / 5
Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
Train A and Train B are starting from the same point. Train A is going west at 50 miles per hour. Train B is going north at 75 miles per hour. How far apart will they be after 2 hours?
The distance apart will be the hypotenuse of the right triangle formed.
A2 + B2 = C2
502 + 752 = C2
2500 + 5625 = C2
8125 = C2
90.14 = C
Solve: 12 + 22 x 32 - 42 =
1 + 4 x 9 - 16 =
1 + 36 - 16
38 - 16 = 21
Andrew has 32 x 3 apples.
Ben has 6 x 12 apples.
Matthew had 7 x 18 apples.
Who has the most apples? Who has the least? What is the average number of apples between the boys?
Andrew has 34 x 3 apples = 102
Ben has 6 x 12 apples = 72
Matthew had 7 x 18 apples = 126
Average = 300 / 3
Average = 100
Solve for n:
10n + 6 = 15n - 9
10n + 6 = 15n - 9
10n = 15n - 9 - 6
10n = 15n - 15
10n-15n = -15
-5n = -15 (Let's undo the negative numbers by multiplying each side of the equation by -1)
(-1)(-5n) = (-1)(-15)
5n = 15
n=3