Equivalent Expressions
What is the multiplication equation for 2 ÷ 2/5 = ?
2/5 x ? = 2
or
? x 2/5 = 2
What is the first step of the fraction division algorithm?
make both the dividend and divisor fractions
Find the reciprocal of 3.
1/3
How many 1/4 teaspoon doses are in 7/8 teaspoon of medicine?
3 1/2 doses
What is the area of a rectangle with a length of 2 inches and a width of 3 2/5 inches?
Remember to add the unit measurement.
6 4/5 sq in.
What is the division equation for 3/5 x ? = 1 4/5
1 4/5 ÷ ? = 3/5
If the dividend is greater than the divisor,...
(what happens to the answer?)
the answer will be greater than 1.
Find the reciprocal of 5/8.
8/5
If 10 cups of ice cream are separated into 1/5 cup sample servings, how many samples can be served?
50 samples
What is the area of a triangle with a base of 2 1/4 inches and a height of 1 3/5 inches?
Remember the measurement.
18/5 sq inches or 3 3/5 sq inches
Write a division OR multiplication equation for the following situation.
Emiya’s class has adopted two equal sections of a highway to keep clean. The combined length is 3/4 of a mile. How long is each section?
3/4 ÷ 2 = ?
or 3/4 ÷ 2 = 3/8
3/8 ÷ 1/7
Will the answer be greater than 1 or less than 1?
greater than one because the dividend is greater than the divisor
Simplify 12/36
1/3
Maya decided to paint some of the rooms in her hotel. She found out that a room required 3/2 cans of paint.
If Maya buys 9 cans of paint, how many rooms can she paint?
6 rooms
What is the volume of a cube with an edge length of 3/5 feet?
27/125 cubic feet
Write an equation that represents the following statement.
To divide a number (n) by a fraction (a/b), we can multiply (n) by (b) and then divide the product by (a).
n ÷ a/b = n x b ÷ a
or
n ÷ a/b = n x b/a
3 1/2 ÷ 3 3/4
Will the answer be greater than 1 or less than 1?
less than 1
Simplify 20/36
5/9
Julia swam 3/4 of a mile in the pool. If each lap is 1/16 of a mile, how many laps did she swim?
12 laps
What is the volume of a rectangular prism with a length of 2 inches, a width of 1/3 inches, and a height of 1 3/5 inches?
16/15 cubic inches or 1 7/15 cubic inches.
Select ALL the statements that show correct reasoning for finding 14/15 ÷ 7/5.
A. 14/15 x 5 x 1/7
B. 14/15 ÷ 5 x 1/7
C. 14/15 x 7 ÷ 1/5
D. 14/15 x 5 ÷ 7
A and D
What is step 3 of the fraction division algorithm?
Invert or find the reciprocal of the second fraction
Simplify 15/60
1/4
Brandy's time card showed that she worked 20 hours worth of life-guarding at the pool. If each shift only lasts 4/5 of an hour, how many shifts did Brandy work?
25 shifts
A triangle has a base of 2 inches and an area of 1 1/4 sq inches. What is the height of this triangle?
height = 5/4 inches or 1 1/4 inches