Division as fractions
Multiplying whole numbers by fractions
Multiplying Fractions by Fractions using models
Division of fractions
Word Problems
100

Write the following as a fraction, and then change it to a mixed number 5 ÷ 3

The fraction for 5÷3 5/3. 

The mixed number is 1 and 2/3.

100

4 of 1/2


4 times 1/2 can be written as:

4/1×1/2=4/2=2

The answer is 2.

100

Solve using a model 1/2 of 2/3

  1. First Tape (Representing 2/3):

    • Draw a rectangle (tape) and divide it into three equal segments.
    • Shade two of the three segments to represent 2/3.
  2. Second Tape (Representing 1/2 of the First Tape):

    • Now, consider taking half of the colored portion representing 2/3.
    • Divide each of the shaded segments into two equal parts.
    • Select one out of the two parts in each shaded segment.
  3. Calculate the Result:

    • The original tape had three segments, with two shaded.
    • Since you took half of the shaded segments, you now have two parts (from the first tape) that each have been split into two, resulting in a total of six smaller segments.
    • If you took one part out of every two in the shaded area, the total number of shaded sections becomes 2 out of 6, which can be simplified to 1/3.
100
2 ÷ 1/2
What is 4
100
Steve had 1/2 of a lasagna left over. Three friends came over. Him AND HIS FRIENDS shared it. How much did they each get?
What is 1/8 of the lasagna
200

Write the following as a fraction, and then change it to a mixed number 12 ÷ 5


The fraction for 12÷5 is 12/5.

The mixed number is 2 and 2/5.

200

14 x 1/3

14/1×1/3=14/3

As a mixed number this is 4 and 2/3.

Answer: 14/3 or 4 and 2/3. 

200

Solve using a model 1/3 of 1/3

  1. Initial Tape (Representing 1/3):

    • Draw a rectangle (tape) and divide it into three equal parts.
    • Shade one of these parts to represent 1/3.
  2. Taking 1/3 of the Shaded Part:

    • Now, divide the shaded part into three equal sections.
    • Shade one of these new smaller sections to represent 1/3 of 1/3.
  3. Calculate the Result:

    • Given the original tape had three parts, the division of each segment into three parts gives a total of nine smaller sections.
    • Since one section out of the nine is shaded, the fraction that represents this area is 1/9.
200
5 ÷ 1/4
What is 20
200
Three fifths of the students in a class were girls. Of the boys, 1/2 had glasses. What fraction of the class were boys with glasses?
What is 2/10
300

Write the following as a fraction, and then change it to a mixed number 30 ÷ 5


The fraction for 30÷5 is 30/5.

The mixed number is 6.

300

Solve 3/6 of 12

3/6×12 = 3×12/6 = 36/6 =6

The result is 6. 

300

Solve using a model 1/2 of 1/3

  1. First Tape (Representing 1/3):

    • Draw a rectangle (the tape) and divide it into 3 equal sections.
    • Color one of the three sections to represent 1/3.
  2. Second Tape (Representing 1/2 of the First Tape):

    • Now, take the colored section (representing 1/3) and divide it into 2 equal parts.
    • Color one of these two parts to represent 1/2.
  3. Calculate the Result:

    • Since your original tape had 3 equal parts, and you took half of one of those parts, you have effectively taken 1 out of 6 equal parts (because each of the original 3 sections has now been divided into 2, making a total of 6 smaller sections).
    • So, 1/2 of 1/3 is equivalent to 1/6

      The result is 1/6. 
300
1/2 ÷ 6
1/12
300
The race was 6 miles long. If there were water stops every 1/2 of a mile, how many water stops were there?
What is 12 water stops
400

Write the following as a fraction, and then change it to a mixed number 15 ÷ 4


The fraction for 15÷4 is 15/4.

The mixed number is 3 and 3/4.

400

Solve 14 x 2/6

14×2/6=28/6=4 and 2/3


400

Solve using a model 2/4 x 1/5

  1. First Tape (Representing 1/5):

    • Draw a rectangle (tape) and divide it into 5 equal sections.
    • Color one of the five sections to represent 1/5.
  2. Second Tape (Representing 2/4):

    • Draw another rectangle and divide it into 4 equal sections.
    • Color two of the four sections to represent 2/4. This is equivalent to 1/2.
  3. Combining the Tapes:

    • Now, consider that the problem asks for 2/4 of 1/5. You need to take half of the colored section representing 1/5.
    • Divide the colored section (representing 1/5) into two equal parts.
    • Color one of these halves. This represents taking 2/4 of 1/5.
  4. Result:

    • With the original tape divided into 5 sections, and then each section divided into 2, you now have a total of 10 sections.
    • The colored portion represents 1/10, indicating that 2/4 of 1/5 is equivalent to 1/10.
400
5 ÷ 1/8
What is 40
400
Mr. Nevitt's plant grew 1 and 1/2 inches. Shayla's plant grew 1/2 as much as his. How much did Shayla's plant grow?
What is 3/4 of an inch
500

Write the following as a fraction, and then change it to a mixed number 27 ÷ 7


The fraction for 27÷7 is 27/7.

The mixed number is 3 and 6/7.

500

Solve 1/5 of 27

1/5×27=27/5=5 and 2/5

500

Solve using a model 2/3 of 4/5

  1. First Tape (Representing 4/5):

    • Draw a rectangle (tape) and divide it into 5 equal parts.
    • Shade 4 out of 5 segments to represent 4/5.
  2. Second Tape (Representing 2/3):

    • Draw a rectangle (another tape) and divide it into 3 equal parts.
    • Shade 2 out of 3 segments to represent 2/3.
  3. Combining the Tapes to Get the Result:

    • You now need to consider 2/3 of 4/5. To do this, let's take the first tape representing 4/5 and divide each of the 5 parts into 3 sections, so you have 15 smaller sections in total.
    • Because the question requires 2/3, you need to consider 2 out of every 3 sections. From the first tape (which has 15 sections), shade every group of 2 out of 3 sections to represent 2/3.
  4. Finding the Result:

    • Since the first tape was divided into 15 segments, the original shading covered 12 out of 15 segments (representing 4/5).
    • After dividing into smaller parts, you should shade only 2 out of every 3 sections, indicating 2/3.
    • Now, out of 15 sections, you should shade a total of 8, indicating that 2/3 of 4/5 results in 8/15.
500
1/5 ÷ 12
1/60
500
Steve and George share a 16 ounce box of cereal. By the end of the week, Steve has eaten 3/8 of the box, and George has eaten 1/4 of the box. How much cereal is left?
What is 6 ounces of cereal