Step: 1

[Original expression.]

Step: 2

= 6 7 × 4 3

[Multiply 6 7 by 4 3 , the reciprocal of 3 4 .]

Step: 3

= 2 7 × 4 1

[Cancel 6 with 3.]

Step: 4

= 2 × 4 7 × 1

[Multiply the numerators and the denominators separately.]

Step: 5

= 8 7

[Simplify.]

Correct Answer is : 8 7

Step: 1

3 ÷ 2 3

[Original expression.]

Step: 2

= 3 1 ÷ 2 3

[Write the whole number 3 as a fraction with denominator of 1.]

Step: 3

= 3 1 × 3 2

[Multiply 3 1 by the reciprocal of 2 3 .]

Step: 4

= 3 × 3 1 × 2

[Multiply the numerators and the denominators.]

Step: 5

= 9 2 = 4 1 2

[Convert improper fraction into mixed number.]

Correct Answer is : 4 1 2

Step: 1

[Divide 20 1 6 by 2 1 5 .]

Step: 2

= 121 6 ÷ 11 5

[Rewrite the mixed numbers as improper fractions.]

Step: 3

= 121 6 × 5 11

[Multiply 121 6 by the reciprocal of 11 5 .]

Step: 4

= 11 6 × 5 1

[Cancel 121 with 11.]

Step: 5

= 1 1 × 5 6 × 1

[Multiply the numerators and the denominators.]

Step: 6

= 55 6 = 9 1 6

[Rewrite the improper fraction as mixed fraction.]

Correct Answer is : 9 1 6

Step: 1

3 ÷ 7 1 3

[Original expression.]

Step: 2

= 3 1 ÷ 7 1 3

[Rewrite the whole number 3, as a fraction with denominator 1.]

Step: 3

= 3 1 ÷ 22 3

[Rewrite the mixed number as improper fraction.]

Step: 4

= 3 1 × 3 22

[Multiply 3 1 by the reciprocal of 22 3 .]

Step: 5

= 3 × 3 1 × 2 2

[Multiply the numerators and the denominators.]

Step: 6

= 9 22

Correct Answer is : 9 22

Step: 1

[Original expression.]

Step: 2

= 16 3 ÷ 4 3

[Rewrite the mixed numbers as improper fractions.]

Step: 3

= 16 3 × 3 4

[Multiply 16 3 by the reciprocal of 4 3 .]

Step: 4

= 4 1 × 1 1

[Cancel 3 with 3 and 16 with 4.]

Step: 5

= 4

[Simplify.]

Step: 6

Jeff gets 4 pieces.

Correct Answer is : 4

Step: 1

[Since 1 lb = 16 oz.]

Step: 2

8 ÷ 1 10

[Divide 8 by 1 10 .]

Step: 3

= 8 1 ÷ 1 10

[Rewrite the whole number 8 as a fraction, with the denominator 1.]

Step: 4

= 8 1 × 10 1

[Multiply 8 1 with the reciprocal of 1 10 .]

Step: 5

= 8 × 1 0 1 × 1

[Multiply the numerators and denominators.]

Step: 6

= 80

[Simplify.]

Step: 7

There are 80, 1 10 oz in 1 2 lb.

Correct Answer is : 80

Step: 1

12 ÷ ( 4 1 3 )

[Original expression.]

Step: 2

= 12 1 ÷ 13 3

[Rewrite the number 12 as a fraction and the mixed number 4 1 3 as an improper fraction.]

Step: 3

[a b ÷ c d = a b × d c .]

Step: 4

= (12)(3) (1)(13)

[a b × c d = a c b d .]

Step: 5

= 36 13

[Simplify the numerator and denominator.]

Step: 6

= 2 10 13

[Rewrite the fraction as a mixed fraction.]

Step: 7

The simplified value of 12 ÷ 4 1 3 is 2 10 13 .

Correct Answer is : 2 10 13

Step: 1

[Original expression.]

Step: 2

= 43 7 ÷ 82 9

[Rewrite the mixed fractions as improper fractions.]

Step: 3

= 43 7 × 9 82

[a b ÷ c d = a b × d c .]

Step: 4

= (43)(9) (7)(82)

[a b × c d = a c b d .]

Step: 5

= 387 574

[Simplify the numerator and denominator.]

Step: 6

The simplified value of 6 1 7 ÷ 9 1 9 is 387 574 .

Correct Answer is : 387 574

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