Step: 1

[Original expression.]

Step: 2

= 8 15 20 - 5 16 20

[Rewrite the fractions of the mixed numbers using the LCD, 20.]

Step: 3

= 7 35 20 - 5 16 20

[Write 8 15 20 as 7 + 1 15 20 = 7 35 20 .]

Step: 4

= 2 19 20

[Subtract the whole numbers and fractions separately.]

Step: 5

So, the difference is 2 19 20 .

Correct Answer is : 2 19 20

Step: 1

[Original expression.]

Step: 2

The LCM of 11 and 10 is 110, so the LCD of 10 11 and 3 10 is 110.

Step: 3

[Write equivalent fractions with a denominator of 110.]

Step: 4

= 100 110 - 33 110

[Multiply inside the grouping symbols.]

Step: 5

= 1 0 0 - 3 3 1 1 0

[Write the difference over the common denominator.]

Step: 6

= 67 110

[Simplify.]

Step: 7

The difference between 10 11 and 3 10 is 67 110 .

Correct Answer is : 67 110

Step: 1

[Original expression.]

Step: 2

= 3 1 4 - 1 2 4

[Rewrite the fractions of the mixed numbers using the LCD, 4.]

Step: 3

= 2 5 4 - 1 2 4

[Rewrite 3 1 4 as 2 + 1 1 4 = 2 5 4 .]

Step: 4

= 1 3 4

[Subtract the whole numbers and then subtract the fractions.]

Step: 5

Correct Answer is : 1 3 4

Step: 1

[Original expression.]

Step: 2

[Rewrite the mixed fraction as improper fraction.]

Step: 3

The LCM of 6 and 7 is 42, so the LCD of 29 6 and 5 7 is 42.

Step: 4

[Write equivalent fractions with a denominator of 42.]

Step: 5

= 2 0 3 - 3 0 4 2

[Write the difference over the common denominator.]

Step: 6

= 173 42

[Simplify.]

Correct Answer is : 173 42

Step: 1

[Original expression.]

Step: 2

[Rewrite the mixed fractions as improper fractions.]

Step: 3

The LCM of 4 and 2 is 4, so the LCD of 21 4 and 7 2 is 4.

Step: 4

[Write equivalent fractions with a denominator of 4.]

Step: 5

= 2 1 - 1 4 4

[Write the difference over the common denominator.]

Step: 6

= 7 4

[Simplify.]

Correct Answer is : 7 4

Step: 1

[Use LCD 4 to write equivalent fractions.]

Step: 2

= 3 4 - 2 4

[Simplify.]

Step: 3

= 3 - 2 4

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

Step: 4

= 1 4

Step: 5

She has to eat 1 4 more of the veg roll to complete 3 4 of the veg roll.

Correct Answer is : 1 4

Step: 1

[Original expression.]

Step: 2

= 19 5 - 3 5

[Rewrite the mixed fraction as improper fraction.]

Step: 3

The LCM of 5 and 5 is 5, so the LCD of 19 5 and 3 5 is 5.

Step: 4

[Write equivalent fractions with a denominator of 5.]

Step: 5

= 19-3 5

[Write the difference over the common denominator.]

Step: 6

= 16 5

[Simplify.]

Correct Answer is : 16 5

Step: 1

[Write the expression.]

Step: 2

The LCM of 5 and 4 is 20, so the LCD of 4 5 and 3 4 is 20.

Step: 3

= ( 4 5 × 4 4 ) - ( 3 4 × 5 5 )

[Write equivalent fractions with a denominator of 20.]

Step: 4

= (16 20 ) - (15 20 )

[Simplify.]

Step: 5

= 16-15 20

[Write the difference between over the common denominator.]

Step: 6

= 1 20

[Simplify.]

Step: 7

The difference between 4 5 and 3 4 is 1 20 .

Correct Answer is : 1 20

Step: 1

The fraction of pie Ed ate = 2 3 - 2 5

Step: 2

= 10 15 - 6 15

[Write equivalent fractions using the LCD, 15.]

Step: 3

= ( 1 0 - 6 ) 1 5

[Since denominators are same, subtract numerators.]

Step: 4

= 4 15

Step: 5

Ed ate 4 15 of the pie.

Correct Answer is : 4 15

Step: 1

The difference between Andy's height and the height of the sculpture = 5 3 4 - 3 1 4

Step: 2

= (5 - 3) + (3 4 - 1 4 )

[Subtract the whole numbers and fractions separately.]

Step: 3

= 2 + 2 4

[Simplify.]

Step: 4

= 2 2 4

[Rewrite as mixed number.]

Step: 5

= 2 1 2

[Simplify 2 4 using the GCF 2.]

Step: 6

Andy is 2 1 2 ft taller than the sculpture.

Correct Answer is : 2 1 2 ft

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