Step: 1

[Original expression.]

Step: 2

= 4 9 × 19 1

[Write 19 as 19 1 .]

Step: 3

= 4 × 1 9 9 × 1

[Multiply the numerators and the denominators.]

Step: 4

= 76 9

Step: 5

= 8 4 9

[Convert improper fraction into mixed number.]

Step: 6

The product of 4 9 and 19 is 8 4 9 .

Correct Answer is : 8 4 9

Step: 1

Number of jobs she completed = fraction of jobs she completed x total number of jobs

Step: 2

= 3 7 x 14

[Substitute the values.]

Step: 3

= 3 7 x 14 1

[Write 14 as 14 1 .]

Step: 4

= 3 1 x 2 1

[Cancel 14 with 7.]

Step: 5

= 3x2 1x1

[Multiply the numerators and the denominators.]

Step: 6

= 6 1 = 6

[Write 6 1 as 6.]

Step: 7

Danielle completed 6 jobs.

Correct Answer is : 6

Step: 1

Quantity of cherries she used = fraction of cherries she used × quantity of cherries she bought

Step: 2

= 2 5 × 25

[Substitute the values.]

Step: 3

= 2 5 × 25 1

[Write 25 as 25 1 .]

Step: 4

= 2 1 × 5 1

[Cancel 25 with 5.]

Step: 5

= 2×5 1×1

[Multiply the numerators and the denominators.]

Step: 6

= 10 1 = 10

[Write 10 1 as 10.]

Step: 7

Diane used 10 pounds of cherries.

Correct Answer is : 10 pounds

Step: 1

Number of files she updated = fraction of files she updated × total number of files

Step: 2

= 1 3 × 6

[Substitute the values.]

Step: 3

= 1 3 × 6 1

[Write 6 as 6 1 .]

Step: 4

= 1 1 × 2 1

[Cancel 6 with 3.]

Step: 5

= 1 × 2 1 × 1

[Multiply the numerators and the denominators.]

Step: 6

= 2 1 = 2

[Write 2 1 as 2.]

Step: 7

Lydia updated 2 files.

Correct Answer is : 2

Step: 1

Step: 2

= 2 5 × 10 1

[Write 10 as 10 1 .]

Step: 3

= 2 1 × 2 1

[Cancel 10 with 5.]

Step: 4

= 2×2 1×1

[Multiply the numerators and the denominators.]

Step: 5

= 4 1 = 4

[Write 4 1 as 4.]

Step: 6

Dennis drank 4 cups of juice.

Correct Answer is : 4 cups

Step: 1

11000 × 5 11

Step: 2

= 11000 1 × 5 11

[Write 11000 as 11000 1 .]

Step: 3

= 1 1 0 0 0 × 5 1 1 × 1

[Multiply the numerators and denominators.]

Step: 4

= 55000 11

[Find the two products.]

Step: 5

= 5000

[Divide 55000 by 11.]

Step: 6

11000 × 5 11 = 5000

Correct Answer is : 5000

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