Step: 1

Number of students absent = 1 3 of 15

Step: 2

= 1 3 × 15

[Fraction of a whole number = fraction × whole number.]

Step: 3

= 1 3 × 15 1

[Write 15 as 15 1 .]

Step: 4

= (1×15) (3×1)

[Multiply the numerators and the denominators.]

Step: 5

= (1×5) (1×1)

[Cancel 15 with 3.]

Step: 6

= 5 1

[Find the products.]

Step: 7

= 5

[Write 5 1 as 5.]

Step: 8

5 students were absent on Monday.

Correct Answer is : 5

Step: 1

Number of cokes Jerald drank = 2 3 of 6

Step: 2

= 2 3 × 6

[Fraction of a whole number = fraction × whole number]

Step: 3

= 2 3 × 6 1

[Write 6 as 6 1 .]

Step: 4

= (2×6) (3×1)

[Multiply the numerators and denominators.]

Step: 5

= 2×2 1×1

[Cancel 6 with 3.]

Step: 6

= 4 1

[Find the products.]

Step: 7

= 4

[Write 4 1 as 4.]

Step: 8

Jerald drank 4 cokes.

Correct Answer is : 4

Step: 1

Number of lilac colored balloons Nathan has = 1 3 of 12

Step: 2

= 1 3 × 12

Step: 3

= 1 3 × 12 1

[Write 12 as 12 1 .]

Step: 4

= 1×12 3×1

[Multiply the numerators and the denominators.]

Step: 5

= 1×4 1×1

[Cancel 12 with 3.]

Step: 6

= 4 1

[Simplify.]

Step: 7

= 4

[Write 4 1 as 4.]

Step: 8

Nathan has 4 lilac colored balloons.

Correct Answer is : 4

Step: 1

The quantity of rice she used = 4 7 of 7

Step: 2

= 4 7 × 7

Step: 3

= 4 7 × 7 1

[Write 7 as 7 1 .]

Step: 4

= 4×7 7×1

[Multiply the numerators and the denominators.]

Step: 5

= 4×1 1×1

[Cancel 7 with 7.]

Step: 6

= 4 1

[Simplify.]

Step: 7

= 4

[Write 4 1 as 4.]

Step: 8

Stephanie used 4 pounds of rice in two days.

Correct Answer is : 4 pounds

Step: 1

Nancy had finished 2 5 of 10 pages.

Step: 2

So, the number of pages she finished = 10 × (2 5 ) pages.

Step: 3

= 10 1 × 2 5

[Write 10 as 10 1 .]

Step: 4

= 10×2 1×5

[Multiply the numerators and denominators.]

Step: 5

= 2×2 1×1 = 4

[Simplify.]

Step: 6

Nancy completed 4 pages of her assignment.

Correct Answer is : 4

Step: 1

Mr. Brian can run 6 miles in one hour. He can run 6 × (5 3 ) miles in 5 3 hours.

Step: 2

= (5 3 ) × 6

[Original expression.]

Step: 3

= 5 3 × 6 1

[Write 6 as 6 1 .]

Step: 4

= 5×6 3×1 = 5×2 1

[Simplify.]

Step: 5

= 10 1 = 10

[Simplify]

Step: 6

Brian can run 10 miles in 5 3 hours.

Correct Answer is : 10 miles

Step: 1

Quantity of milk Sam sold = 3 4 of 104

Step: 2

= 3 4 × 104

Step: 3

= 3 4 × 104 1

[Write 104 as 104 1 .]

Step: 4

= 3×104 4×1

[Multiply the numerators and the denominators.]

Step: 5

= 3×26 1×1

[Cancel 104 with 4.]

Step: 6

= 78 1

[Find the products.]

Step: 7

= 78

[Write 78 1 as 78.]

Step: 8

Sam sold 78 gallons of milk.

Correct Answer is : 78 gallons

Step: 1

The number of pieces in the pizza is 10.

Step: 2

The part of pizza Sam had for his lunch is 2 5 .

Step: 3

The number of pieces Sam had = (the part of pizza Sam had for his lunch) × (the number of pieces in the pizza).

Step: 4

= ( 2 5 ) × 10

[Substitute the values.]

Step: 5

= ( 2 5 ) × ( 10 1 )

[Rewrite 10 as 10 1 .]

Step: 6

= 20 5

[Multiply the numerators and the denominators separately.]

Step: 7

= 4

[Divide]

Step: 8

The number of pieces Sam had for his lunch is 4.

Correct Answer is : 4 pieces

Step: 1

Number of girls = Fraction that represents the girls × total number of students.

Step: 2

= 6 11 × 55

[Substitute the values.]

Step: 3

= 6 11 × 55 1

[Write 55 as 55 1 .]

Step: 4

= 30

[SImplify.]

Step: 5

So, the number of girls in Mrs. Irena's class is 30.

Correct Answer is : 30

Step: 1

The number of chocolates each child got = Fraction of chocolates each child got × total number of chocolates

Step: 2

= 1 5 × 30

[Substitute the values.]

Step: 3

= 1 5 × 30 1

[Write 30 as 30 1 .]

Step: 4

= 6

[Simplify.]

Step: 5

So, each child got 6 chocolates.

Correct Answer is : 6

Step: 1

Number of students who were absent = Fraction of students absent × total number of students.

Step: 2

= 6 7 × 28

[Substitute the values.]

Step: 3

= 6 7 × 28 1

[Write 28 as 28 1 .]

Step: 4

= (6×28) (7×1)

Step: 5

= 24

[Simplify]

Step: 6

So, the number of students who were absent in Mrs. Ursula's class is 24.

Correct Answer is : 24

Step: 1

Number of airplanes Francis made = Fraction of airplanes he made × Total number of airplanes they together made

Step: 2

= 1 3 × 18

[Substitute the values.]

Step: 3

= 6

[Divide 18 by 3.]

Step: 4

So, Francis made 6 paper airplanes.

Correct Answer is : 6

Step: 1

Number of pieces Jim ate = total number of pieces in the pizza × fraction of pieces that Jim ate

Step: 2

= 3 × 2 3

[Substitute the values.]

Step: 3

= 3 1 × 2 3

[Write 3 as 3 1 .]

Step: 4

= 3 × 2 1 × 3

[Multiply the numerators and denominators.]

Step: 5

= 6 3

[Find the two products.]

Step: 6

= 2

[Write 6 3 in simplest form.]

Step: 7

Jim ate 2 pieces of the pizza.

Correct Answer is : 2

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