Show:
Multiplying Fractions
Multiplying Mixed Numbers
Solving Equations with Fraction
Dividing Fractions
Dividing Mixed Numbers
100
Find: 3/5 of 1/2
What is 3/5 x 1/2 = 3/10
100
2 and 2/3 x 3 and 1/4
What is 8/3 x 13/4 = 104/ 12 = 8 and 2/3
100
Solve for the missing variable. x/3 = 2/5
What is Multiply both sides by 3. 2/5 x 3/1 = 6/5 = 1 and 1/5
100
When a fraction is multiplied by its reciprocal the product is?
What is 1 Example: 1/3 x 3/1 = 3/3 = 1
100
Find the quotient. 3 and 1/6 ÷ 2
Multiply by the reciprocal of 2. 19/6 x 1/2 = 19/12 = 1 and 7/12
200
Find 3/8 x 2/5
What is 3/8 x 2/5 = 6/40 = 3/20
200
Find the product of 2 and 4/6 and 1 and 1/3
Change both to fractions 16/6 x 4/3 = 64/18 = 3 and 10/18 = 3 and 5/9
200
Solve for y. (2/3)y = 8
To solve for y you have to use the inverse operation. Multiply both sides by the reciprocal of 2/3 y = 8/1 x 3/2 = 24/2 = 12 y = 12
200
The reciprocal of 17/23
What is 23/17
200
Find the quotient. 10 and 1/3 ÷ 3 and 1/3
Change mixed numbers into fraction 31/3 ÷ 10/3 multiply by the reciprocal of 10/3 31/3 x 3/10 = 93/30 = 3 and 3/30 = 3 and 1/10
300
A baby alligator is 5/6 foot long. The adult alligator is 12 times as long How long is the adult alligator? Include the unit of measurement in your answer.
What is 12 x 5/6 = 12/1 x 5/6 = 60/6 = 10 feet
300
Find the product of 7 and 1/2 and 8 and 2/3
What is 15/2 x 26/3 = 390/6= 65
300
A volunteer group has 6 yds. of material to make flags for Community Day. Each flag uses 5/8 yds. of material. How many flags can the group make? Write and solve an algebraic equation.
"each" means to multiply. Yards per flag x number of flags = total yards 5/8 multiplies by the number of flags. Since we do not know the number of flags we will use a variable. 5/8(f) = 6 multiply both sides of the equation by the reciprocal of 5/8 f = 6/1(8/5)= 48/5 f = 9 and 3/5 yards
300
Find 5/10 ÷ 5/6
Multiply by 6/5, the reciprocal of 5/6 5/10 x 6/5 = 30/50 = 3/5
300
The average adult's height is about 8 times the length of the person's head. A man that is 6 and1/2 ft tall. About how long is his head?
8(length of the man's head) = 6 and 1/2 ft. 8(h)=6 and 1/2 multiply both sides by the reciprocal of 8 h= 6 and 1/2 x 1/8 h= 13/2 x 1/8 = 13/16 h = 13/16 ft.
400
Adding 3/8 and 2/8 is different from multiplying the two fractions. Explain the difference.
What is: When you add the fractions you only add the numerators and keep the denominators the same. When you multiply the fractions you multiply the numerators together, then multiply the denominators together.
400
A student skis 3 and 1/2 mules in one hour. The instructor skis 1 and 1/3 times as far in one hour. How far can the instructor ski in one hour? *include your unit of measurement in the answer*
What is 7/2 x 4/3 = 28/6 = 4 and 4/6 = 4 and 2/3 miles
400
The value of Gerald's coin is 7/12 of the value of his brother's coin. Gerald's coins are worth $14. What is the value of his brother's coins? Write and solve an equation.
"of" means to multiply 7/12 x the value of brother's coins = $14 7/12(b) = $14 multiply both sides by the reciprocal of 7/21 v = 14/1(12/7) = 168/7 v = $24
400
Find the quotient of 7 ÷ 3/5
Multiply by the reciprocal of 3/5 7/1 x 5/3 = 35/3 = 11 and 2/3
400
The price of one technology stock rises 1 and 5/8 points in 7 and 1/2 hours. What is the number of points gained per hour?
1 and 5/8 ÷ 7 and 1/2 change both into fractions 13/8 ÷ 15/2 multiply by the reciprocal of 15/2 13/8 x 2/15 = 26/120 = 13/60pts each hour
500
Paul earns $2,712 each month. He spends 1/4 of his earnings on rent each month. In addition, he spends 1/8 of his earnings on his car. How much, in total does Paul spend each month on his car and rent?
What is: Rent = 1/4 x $2712/1= $678 Car = 1/8 x $2712/1 = $339 Total spent on both each month: $678 + $339 = $1,017
500
A carpenter needs six pieces of wood 3and1/2 feet long. The carpenter has two 10ft boards. Does the carpenter have enough? Show your work to support your answer.
What is No, he does not. The carpenter needs: 6 x 3 and 1/2 = 6/1 x 7/2 = 42/2 = 21 feet. The carpenter only has 20 ft.
500
A costume uses 5/6 yards of ribbon. You have to make 9 costumes to make. How many yards of fabric do you need? Write and solve an equation.
yards per costume x yards needed = total costumes 5/6(y) = 9 multiply both sides by the reciprocal of 5/6 y = 9/1(6/5) = 54/5= 10 and 4/5 yards
500
A piece of 2/3 yards of iron is cut into six equal pieces. How long is each piece?
2/3 ÷ 6 multiply by the reciprocal of 6 2/3 x 1/6 = 2/18= 1/9 yard.
500
A bookstore has a shelf that is 37 and 1/2 inches long. Each book is 1 and 1/4 in thick. How many books fit on the shelf?
37 and 1/2 ÷ 1 and 1/4 change both numbers into fractions. 75/2 ÷ 5/4 multiply by the reciprocal of 5/4 75/2 x 4/5 = 300/10 = 30 30 books.