Step: 1

The problem asks us to find out how much chicken each serving contained. So, we need to divide the pounds of chicken cooked by the number of servings.

Step: 2

[Original expression.]

Step: 3

= 3 2 ÷ 4

[Convert the mixed number into an improper fraction.]

Step: 4

= 3 2 × 1 4

[Multiply by 1 4 , the reciprocal of 4.]

Step: 5

= 3 × 1 2 × 4

[Multiply the numerators and the denominators.]

Step: 6

= 3 8

Step: 7

So, each serving contained 3 8 of a pound of chicken.

Correct Answer is : 3 8

Step: 1

The fraction of the students with grade A or grade B = 1 3 + 1 4 .

Step: 2

= 1×4 3×4 + 1×3 4×3

[Use LCD 12 to write the equivalent fractions.]

Step: 3

= 4 12 + 3 12

[Simplify.]

Step: 4

= 4+3 12 = 7 12

[Add the numerators.]

Step: 5

Correct Answer is : 7 12

Step: 1

The acres of land required to grow both strawberries and tomatoes = 1 20 + 1 16 .

Step: 2

= [(1x4) (20x4) ] + [(1x5) (16x5) ]

[Use LCD 80 to write the equivalent fractions.]

Step: 3

= 4 80 + 5 80

[Simplify.]

Step: 4

= (4+5) 80 = 9 80

[Add the numerators.]

Step: 5

Remaining acres of land = 1 4 - 9 80 .

Step: 6

= [(1x20) (4x20) ] - [(9x1) (80x1) ]

[Use LCD 80 to write the equivalent fractions.]

Step: 7

= 20 80 - 9 80

[Simplify.]

Step: 8

= (20-9) 80 = 11 80

[Subtract the numerators.]

Step: 9

Henry is left with 11 80 acres of land after growing both strawberries and tomatoes.

Correct Answer is : 11 80 acres

Step: 1

[Original expression.]

Step: 2

= 16 3 ÷ 4 3

[Rewrite the mixed numbers as improper fractions.]

Step: 3

= 16 3 × 3 4

[Multiply 16 3 by the reciprocal of 4 3 .]

Step: 4

= 4 1 × 1 1

[Cancel 3 with 3 and 16 with 4.]

Step: 5

= 4

[Simplify.]

Step: 6

Jeff gets 4 pieces.

Correct Answer is : 4

Step: 1

[Rewrite the mixed number 2 1 4 as improper fraction 9 4 .]

Step: 2

27 = 27 1

[Rewrite the whole number 27 as a fraction, with the denominator 1.]

Step: 3

[Divide 27 by 9 4 .]

Step: 4

[Multiply 27 1 with the reciprocal of 9 4 .]

Step: 5

= 2 7 × 4 1 × 9

[Multiply the numerators and the denominators.]

Step: 6

= 108 9 = 12

[Simplify.]

Step: 7

The can would last for 12 days.

Correct Answer is : 12

Step: 1

Amount Jeff has after paying for two shirts = Amount Jeff had - Cost of two shirts

Step: 2

Cost of two shirts = 11.23 + 15.96

= $27.19

[Add.]

Step: 3

Amount Jeff has after paying for two shirts = $48.15 - $27.19

= $20.96

[Subtract.]

Correct Answer is : $20.96

Step: 1

Amount Ethan had after he gave $35.31 to Paul = 188.37 - 35.31

= $153.06

Step: 2

Amount Ethan has after he borrowed $106.71 from Paul

= 153.06 + 106.71

Step: 3

= $259.77

Correct Answer is : $259.77

Step: 1

Time taken by Sunny to travel a distance of 499.38 mi = total distance ÷ the speed at which he travels

= 499.38 ÷ 40.6

[Substitute the values.]

Step: 2

Step: 3

Time taken by Sunny to travel to 499.38 mi is 12.3 hrs.

Correct Answer is : 12.3 hrs

Step: 1

The cost of the fabric per meter = the cost of the fabric for 18 3 5 meters ÷ 4 1 5 = 18 3 5 ÷ 4 1 5 .

Step: 2

= 93 5 ÷ 21 5

[Rewrite the mixed fraction as an improper fraction.]

Step: 3

= 93 5 × 5 21

[a b ÷ c d = a b × d c .]

Step: 4

= (93)(5) (5)(21)

[a b × c d = ac bd .]

Step: 5

= 31 7

[Divide the numerator and the denominator by their GCF.]

Step: 6

= 4 3 7

[Rewrite the fraction as an improper fraction.]

Step: 7

The cost of the fabric per meter is $ 4 3 7 .

Correct Answer is : 4 3 7

Step: 1

Let the share of each individual be x .

Step: 2

4x = 827.20

[Original equation.]

Step: 3

[Divide each side by 4.]

Step: 4

[Simplify.]

Step: 5

Each of them should pay $206.80 for the apartment.

Correct Answer is : $206.80

Step: 1

Let x be the rent paid by each company.

Step: 2

16x = 18545

[Write an equation.]

Step: 3

[Divide each side by 16.]

Step: 4

[Simplify.]

Step: 5

[Round to nearest cent.]

Step: 6

So, the rent paid by each company is $1159.06.

Correct Answer is : $1159.06

Step: 1

[Divide 6 1 3 by 2 1 3 .]

Step: 2

= 19 3 ÷ 7 3

[Convert the mixed numbers into improper fractions.]

Step: 3

= 19 3 × 3 7

[Multiply by 3 7 , the reciprocal of 7 3 .]

Step: 4

= 19 1 × 1 7

[Cancel 3 with 3.]

Step: 5

= 19×1 7×1 = 19 7

[Multiply numerators and denominators separately.]

Step: 6

= 2 5 7

[Represent 19 7 as a mixed number.]

Step: 7

Valerie sold 2 5 7 lbs of fruits in one day.

Correct Answer is : 2 5 7

Step: 1

Let n be the number of extra hours.

Step: 2

Total amount = Amount taken for 6 hours + (amount taken for each extra hour x number of extra hours).

Step: 3

= 30.42 + (6.22 x n ) = 55.30

[Substitute.]

Step: 4

= (6.22 x n ) = 55.30 - 30.42

[Subtract 30.42 from both sides.]

Step: 5

= (6.22 x n ) = 24.88

Step: 6

= n = 24.88 6.22 = 4

[Divide both sides with 6.22.]

Step: 7

Total number of hours Tim took the car for rent = 6 + 4 = 10.

Correct Answer is : 10

Step: 1

The price of three pencils = $4.20.

Step: 2

Price of each pencil = Price of 3 pencils ÷ Number of pencils

= 4.20 ÷ 3

[Substitute the values.]

Step: 3

Step: 4

The price of each pencil = $1.40

Correct Answer is : $1.40

Step: 1

[Write the expression.]

Step: 2

= 4 6 ÷ 20 1

[Write the whole number as a fraction.]

Step: 3

= 4 6 × 1 20

[Multiply by the reciprocal of 20 1 , which is 1 20 .]

Step: 4

= 1 6 × 1 5

[Cancel 20 with 4.]

Step: 5

= 1 × 1 6 × 5

[Multiply numerators and denominators separately.]

Step: 6

= 1 30

[Simplify.]

Step: 7

So, each student gets 1 30 of the cake.

Correct Answer is : 1 30

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