Step: 1

= 1 45 × 5 6

[Original expression.]

Step: 2

= 1 9 × 1 6

[Cancel 45 with 5.]

Step: 3

= 1×1 9×6 = 1 54

[Multiply numerators and denominators separately.]

Step: 4

The apple juice requires 1 54 cup of juice concentrate.

Correct Answer is : 1 54 cup

Step: 1

[Original expression.]

Step: 2

= 1 1 × 1 7

[Divide by the GCF 4.]

Step: 3

= 1×1 1×7

[Multiply the numerators and the denominators.]

Step: 4

= 1 7

Step: 5

Valerie ate 1 7 of the pizza.

Correct Answer is : 1 7

Step: 1

[Original expression.]

Step: 2

= 2 7 × 77 2

[Write the mixed number as an improper fraction.]

Step: 3

= 1 1 × 11 1

[Cancel 2 with 2 and 77 with 7.]

Step: 4

= 1 × 1 1 1 × 1

[Multiply the numerators and the denominators.]

Step: 5

= 11 1 = 11

[Write 11 1 as 11.]

Step: 6

Tim used 11 in. of the rope.

Correct Answer is : 11 in.

Step: 1

The weight of Edward's bag of popcorns = (1 4 × 1 3 ) oz.

Step: 2

= 1×1 4×3 oz.

[Multiply numerators and denominators.]

Step: 3

= 1 12 oz.

[Simplify.]

Step: 4

Edward's bag contains popcorns weighing 1 12 oz.

Correct Answer is : 1 12 oz.

Step: 1

The length of the gas line to be installed in 8 5 days = the fraction of days × the length of the gas line installed in one day.

Step: 2

= 8 5 × 1 4

[Substitute the values.]

Step: 3

= 8×1 5×4

[Multiply the numerators and the denominators.]

Step: 4

= 2×1 5×1

[Cancel 8 with 4.]

Step: 5

= 2 5

[Simplify.]

Step: 6

Correct Answer is : 2 5 miles

Step: 1

The length of the dining table Chris made = the fraction of the length of Chris's table in Justin's table × the length of Justin's table

Step: 2

= 3 4 × 38 3

[Substitute the values.]

Step: 3

= 3 × 3 8 4 × 3

[Multiply the numerators and the denominators.]

Step: 4

= 1 × 1 9 2 × 1

[Cancel 38, 4 with 2 and 3 with 3.]

Step: 5

= 19 2

[Simplify.]

Step: 6

The length of the dining table Chris made is 19 2 feet.

Correct Answer is : 19 2 feet

Step: 1

[Write the product of the fractions.]

Step: 2

= 1 3 × 1 7

[Cancel 9 with 3.]

Step: 3

= 1 7×3 = 1 21

[Multiply numerators and denominators separately.]

Step: 4

So, the blue ball-shaped candles are 1 21 of all candles.

Correct Answer is : 1 21

Step: 1

[Write the product of the fractions.]

Step: 2

= 3 4 × 1 7

[Cancel 8 with 2.]

Step: 3

= 3×1 4×7

[Multiply the numerators and denominators separately.]

Step: 4

= 3 28

[Simplify.]

Step: 5

So, 3 28 of total employees ordered for a cold coffee.

Correct Answer is : 3 28

Step: 1

Carol's height = 1 3 × George's height.

Step: 2

= 1 3 × 11 3

Step: 3

= 1 × 1 1 3 × 3

[Multiply the numerators and the denominators.]

Step: 4

= 11 9

[Find the products.]

Step: 5

So, Carol's height is 11 9 ft.

Correct Answer is : 11 9 ft

Step: 1

Victor's age = 1 3 × Jake's age.

Step: 2

= 1 3 × 15 2

[Substitute the value.]

Step: 3

= (1×15) (3×2)

[Multiply the numerators and the denominators.]

Step: 4

= 15 6

[Find the products.]

Step: 5

So, Victor is 15 6 years old.

Correct Answer is : 15 6 years

- Interpreting Multiplication as Scaling or Resizing-Gr 5-Solved Examples
- Interpreting Fractions by Division of Whole Numbers-Gr 5-Solved Examples
- Relationship between Fraction and Division-Gr 5-Solved Examples
- Adding and Subtracting Fractions-Unlike Denominators-Gr 5-Solved Examples
- Multiplying Fractions with Whole Numbers-Gr 5-Solved Examples
- Multiplying Fractions with Fractions-Gr 5-Solved Examples
- Multiplication of Unit Fractions using Models-Gr 5-Solved Examples
- Dividing Fraction by a Whole Number and vice versa-Gr 5-Solved Examples
- Adding Mixed Numbers-Unlike Denominators-Gr 5-Solved Examples
- Subtracting Mixed Numbers-Unlike Denominators-Gr 5-Solved Examples
- Application of Adding Fractions-Like Denominators-Gr 5-Solved Examples
- Application of Adding Fractions-Unlike Denominators-Gr 5-Solved Examples
- Application of Subtracting Fractions-Like Denominators-Gr 5-Solved Examples
- Application of Subtracting Fractions-Unlike Denominators-Gr 5-Solved Examples
- Estimating Addition and Subtraction of Fractions-Gr 5-Solved Examples
- Equivalent Fraction for a given Fraction-Gr 5-Solved Examples

- Fraction