Equations
How many 1/5s are in 20? What multiplication equation can you use to check your work?
100; 100 x 1/5 = 20
Francesca is growing 1/2 inch each year. How many years will it take for her to grow 6 inches? AND HOW DID YOU SOLVE IT?
A. 2 years
B. 4 years
C. 8 years
D. 12 years
D. 12 years
I divided 6 by 1/2
Which equations will the number 2 make true? Select all that apply.
A. 1 divided by 2 = __
B. 5 divided by __ = 2/5
C. ___ divided by 9 = 2/9
D. 1 divided by ___ = 1/2
E. 2 divided by 4 = ___
C, D
Solve.
3 divided by 5
3/5
Benjamin has enough icing to cover a 1/2-square-foot cake. He wants to use the icing to cover 2 equal-sized cakes. Write an expression that shows the size of each of two cakes that Benjamin can cover with the icing and solve.
1/2 divided by 2 = 1/4
One fourth of a cake was shared equally among 3 people. Write an equation and solve to find the amount of cake each person gets.
1/4 divided by 3 = 1/12
3 is the denominator because you can't split up the people!
Tina has 10 packages of yarn to knit a scarf.
She uses 1/3 package of yarn for each inch of length she adds to the scarf.
If Tina uses all the yarn, how long will her scarf be? Label and EXPLAIN!
10 divided by 1/3 = 30 inches
Select all the expressions equal to 1/8. EXPLAIN.
A. 8 divided by 1
B. 2 divided by 16
C. 2 divided by 1/4
D. 1 divided by 8
E. 1/4 divided by 2
B, D, and E
I can multiply 1/8 by the divisor. If the product is equal to the dividend, then the answer is correct.
5 divided by 1/3
15
Brandi has to deliver a message to a friend who lives 14 miles away.
She can deliver the message to Jake who then delivers it to Marissa.
Marissa delivers it to Kelly who then finishes the delivery.
Each of the four friends walks the message the same distance.
Use an equation to find how far each friend travels with the message.
14 divided by 4 = 3 1/2 miles
Pilar made 6 quarts of orange marmalade to store in jars.
If she puts 14 quart of marmalade into each jar, how many jars will she need? Write an equation that represents the problem and solve.
6 divided by 1/4 = 24 quarts
SOLVE ALL:
4 divided by 1/5 = ____
4 x 5 = _____
7 divided by 1/3 = ____
7 x 3 = ____
What generalization can you make about the equations?
Enter multiplying, dividing, numerator, or denominator in each box. Words may be used once or not at all.
____________ a whole number by a unit fraction is the same as ______________ a whole number by the _____________ of the unit fraction.
20, 20, 21, 21
DIVIDING a whole number by a unit fraction is the same as MULITPLYING a whole number by the DENOMINATOR of the unit fraction.
1/3 divided by 5
1/15
Barbara says that 1 and 2/3 is equal to 3 divided by 5. Is she correct? Explain.
She is not correct because 1 2/3 = 3/3 + 2/3 which is 5/3. 3 divided by 5 would be 3/5.
Students in the fifth-grade class bought 28 yards of fabric to make pennants for a pep rally.
Each pennant requires 1/3 yard of fabric.
If the students have already made 35 pennants from the fabric, how many more pennants can they still make?
28 divided by 1/3 = 84
84 - 35 = 49 pennants
5 divided by 3
5/3 = 1 2/3
Explain how to write a mixed number as a division expression. Enter numerator, denominator, fraction, quotient, divisor, or remainder in each box. Words may be used once or not at all.
First, write the mixed number as a ________ greater than one. Then use the _________ as the dividend and the __________ as the _________ in the division expression.
First, write the mixed number as a FRACTION greater than one. Then use the NUMERATOR as the dividend and the DENOMINATOR as the DIVISOR in the division expression.
Omar is painting a 24-square-foot wall.
The wall is divided into squares that each measure 1/4 square foot.
How many squares is the wall divided into? What equation can you use to check your work?
24 divided by 1/4 = 96 squares
? x 1/4 = 24