67 ÷ 34

  [Original expression.]

= 67 × 43

  [Multiply 67 by 43, the reciprocal of 34.]

= 27 × 41

  [Cancel 6 with 3.]

= 2 × 47 × 1

  [Multiply the numerators and the denominators separately.]

= 87

  [Simplify.]

3 ÷ 23

  [Original expression.]

= 31 ÷ 23

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

= 31 × 32

  [Multiply 31 by the reciprocal of 23.]

= 3 × 31 × 2

  [Multiply the numerators and the denominators.]

= 92 = 412

  [Convert improper fraction into mixed number.]

2016 ÷ 215

  [Divide 2016 by 215.]

= 1216 ÷ 115

  [Rewrite the mixed numbers as improper fractions.]

= 1216 × 511

  [Multiply 1216 by the reciprocal of 115.]

= 116 × 51

  [Cancel 121 with 11.]

= 11 × 56 × 1

  [Multiply the numerators and the denominators.]

= 556 = 916

  [Rewrite the improper fraction as mixed fraction.]

3 ÷ 713

  [Original expression.]

= 31 ÷ 713

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

= 31 ÷ 223

  [Rewrite the mixed number as improper fraction.]

= 31 × 322

  [Multiply 31 by the reciprocal of 223.]

= 3 × 31 × 22

  [Multiply the numerators and the denominators.]

= 922

  

513 ÷ 113

  [Original expression.]

= 163 ÷ 43

  [Rewrite the mixed numbers as improper fractions.]

= 163 × 34

  [Multiply 163 by the reciprocal of 43.]

= 41 × 11

  [Cancel 3 with 3 and 16 with 4.]

= 4

  [Simplify.]

12 lb = 162 oz = 8 oz

  [Since 1 lb = 16 oz.]

8 ÷ 110

  [Divide 8 by 110.]

= 81 ÷ 110

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

= 81 × 101

  [Multiply 81 with the reciprocal of 110.]

= 8 × 101 × 1

  [Multiply the numerators and denominators.]

= 80

  [Simplify.]

12 ÷ ( 413)

  [Original expression.]

= 121 ÷ 133

  [Rewrite the number 12 as a fraction and the mixed number 413 as an improper fraction.]

121 × 313

  [ab ÷ cd = ab × dc.]

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

  [ab × cd = acbd.]

= 3613

  [Simplify the numerator and denominator.]

= 21013

  [Rewrite the fraction as a mixed fraction.]

617 ÷ 919

  [Original expression.]

= 437 ÷ 829

  [Rewrite the mixed fractions as improper fractions.]

= 437 × 982

  [ab ÷ cd = ab × dc.]

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

  [ab × cd = acbd.]

= 387574

  [Simplify the numerator and denominator.]

  [Original expression.]

  [Multiply by the reciprocal of 113 which is 311.]

  [Cancel 12 with 3. ]

  [Simplify.]

  [Original expression.]

  [Multiply by the reciprocal of 37.]

  [Multiply the numerators and the denominators.]

  [Simplify.]

  [Original expression.]

  [Multiply by the reciprocal of 211.]

  [Multiply the numerators and the denominators.]

  [Simplify.]

  [Original expression.]

  [Multiply by the reciprocal of 73.]

  [Multiply the numerators and the denominators.]

  [Simplify.]

  [Given expression.]

  [The quotient of a negative integer and a positive integer is negative.]

  [Given expression.]

  [The quotient of a negative integer and a positive integer is negative.]