Step: 1

[Write the expression.]

Step: 2

The LCM of 8 and 9 is 72, so the LCD of 7 8 and 8 9 is 72.

Step: 3

[Write equivalent fractions with a denominator of 72.]

Step: 4

= (63 72 ) + (64 72 )

[Simplify.]

Step: 5

= 6 3 + 6 4 7 2

[Write the sum over the common denominator.]

Step: 6

= 127 72

[Simplify.]

Step: 7

The sum of 7 8 and 8 9 is 127 72 .

Correct Answer is : 127 72

Step: 1

[Original expression.]

Step: 2

= 10 3 + 21 5

[Rewrite the mixed fractions as improper fractions.]

Step: 3

The LCM of 3 and 5 is 15, so the LCD of 10 3 and 21 5 is 15.

Step: 4

[Write equivalent fractions with a denominator of 15.]

Step: 5

= 5 0 + 6 3 1 5

[Write the sum over the common Denominator.]

Step: 6

= 113 15 .

[Simplify.]

Correct Answer is : 113 15

Step: 1

[Original expression.]

Step: 2

= 16 3 + 31 5

[Rewrite the mixed fractions as improper fractions.]

Step: 3

The LCM of 3 and 5 is 15, so the LCD of 16 3 and 31 5 is 15.

Step: 4

[Write equivalent fractions with a denominator of 15.]

Step: 5

= (80+93) (15)

[Write the sum over the common Denominator.]

Step: 6

= 173 15

[Simplify.]

Correct Answer is : 173 15

Step: 1

[Write the expression.]

Step: 2

= 43 5 + 241 22

[Rewrite the mixed fractions as improper fractions.]

Step: 3

The LCM of 5 and 22 is 110, so the LCD of 43 5 and 241 22 is 110.

Step: 4

= [( 43 5 ) × (
22 22 )] + [( 241 22 ) × (5 5 )]

[Write equivalent fractions with a denominator of 110 .]

Step: 5

= ( 946 110 ) + ( 1205 110 )

[Multiply inside the grouping symbols..]

Step: 6

= 946 + ( 1205 ) 110

[Write the sum over the common denominator.]

Step: 7

= 2151 110

[Simplify]

Step: 8

= 19 61 110

[Convert the proper fraction to a mixed fraction.]

Step: 9

The sum of 8 3 5 and 10 21 22 is 19 61 110 .

Correct Answer is : 19 61 110

Step: 1

[Original expression.]

Step: 2

= 4 × 9 7 × 9 + 4 × 7 9 × 7

[Use LCD 63 to write equivalent fractions.]

Step: 3

= 36 63 + 28 63

Step: 4

= 36 + 28 63

[Add the numerators.]

Step: 5

= 64 63

[Simplify.]

Step: 6

Marissa and Rachel plucked 64 63 of the apples.

Correct Answer is : 64 63

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