Step: 1

The fraction of sugar Chris gave them = 5 6 + 1 9

Step: 2

= 15 18 + 2 18

[Write equivalent fractions using the LCD, 18.]

Step: 3

= 1 5 + 2 1 8

[Since the denominators are same, add numerators.]

Step: 4

= 17 18

Step: 5

Chris gave 17 18 of the sugar to them.

Correct Answer is : 17 18

Step: 1

[Original expression.]

Step: 2

[Use LCD 35 to write equivalent fractions.]

Step: 3

= 14 35 + 10 35

Step: 4

= 1 4 + 1 0 3 5

[Since the denominators are equal, add the numerators.]

Step: 5

= 24 35

Step: 6

Olga and Lindsay picked 24 35 of the oranges.

Correct Answer is : 24 35

Step: 1

[Original expression.]

Step: 2

= 3×2 4×2 + 1 8

[Write the fractions with the same denominator using the LCD, 8.]

Step: 3

= 6 8 + 1 8

[Simplify.]

Step: 4

= 6+1 8

[Add the numerators.]

Step: 5

= 7 8

Step: 6

The fraction of points scored by both Tony and Henry in the math test is 7 8 .

Correct Answer is : 7 8

Step: 1

Land needed to grow strawberries and tomatoes = land needed to grow strawberries + land needed to grow tomatoes

Step: 2

= 1 9 + 1 6

Step: 3

= 1×2 9×2 + 1×3 6×3

[Use LCD 18 to write the equivalent fractions.]

Step: 4

= 2 18 + 3 18

[Simplify.]

Step: 5

= 2+3 18 = 5 18

[Add the numerators.]

Step: 6

Tommy needs 5 18 of an acre to grow both strawberries and tomatoes.

Correct Answer is : 5 18 of an acre

Step: 1

[Write the sum of the fractions.]

Step: 2

LCD of the fractions = LCM of the denominators = 99.

Step: 3

= 45 99 + 11 99

[Use LCD to write equivalent fractions.]

Step: 4

= 11+45 99

[Add the numerators.]

Step: 5

So, both red and blue marbles occupy 56 99 of the area of box.

Correct Answer is : 56 99

Step: 1

The fraction of sugar Nathan gave them = 5 6 + 1 8

Step: 2

= 20 24 + 3 24

[Write equivalent fractions using the LCD, 24.]

Step: 3

= 2 0 + 3 2 4

[Since the denominators are same, add numerators.]

Step: 4

= 23 24

Step: 5

Nathan gave 23 24 of the sugar to them.

Correct Answer is : 23 24

Step: 1

[Sum of cents and quarters.]

Step: 2

= 1 7 + 3 7

[Write equivalent fractions using the LCD, 7.]

Step: 3

= 1 + 3 7

[Since the denominators are same, add the numerators.]

Step: 4

= 4 7

[Simplify.]

Step: 5

Correct Answer is : 4 7

Step: 1

The fraction of apple Nancy ate = The fraction of it she ate before leaving to school + The fraction of it she ate after coming back home.

Step: 2

= 1 2 + 1 5

[Substitute the values.]

Step: 3

Step: 4

So, Nancy ate 7 10 of the apple.

Correct Answer is : 7 10

Step: 1

The quantity of juice in the jug = The quantity of that he poured first + The quantity he added later

Step: 2

= 4 5 + 3 15

[Substitute the values.]

Step: 3

Step: 4

So, Ed poured 1 qt of juice into the jug.

Correct Answer is : 1 qt

Step: 1

The fraction of stale blackberries in both the baskets = the fraction of stale blackberries in the first basket + the fraction of stale blackberries in the second basket.

Step: 2

= 2 9 + 1 3

[Substitute the values.]

Step: 3

Step: 4

So, 5 9 of the blackberries were stale.

Correct Answer is : 5 9

Step: 1

Total fraction coins that are dimes and pennies = 1 4 + 1 12

Step: 2

The equivalent fractions of 1 4 and 1 12 with common denominator 12 are 3 12 and 1 12

Step: 3

Step: 4

= 3 + 1 1 2 = 4 12

Step: 5

Therefore, the fraction coins that are dimes and pennies = 4 12

Correct Answer is : 4 12

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