By Pierluigi Crescenzi, Viggo Kann.
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Additional info for A Compendium of NP Optimization Problems
Ii) Which member of the family of 1 do we use to change y to ^ ? Which member of the family of 1 do we use to change - | to y ? Do we multiply or divide by the number? □,□}· 37 FRACTIONS AND RATIONAL NUMBERS (d) (i) Fill in the boxes: 14' 8 ' D ' 16' D ' D ' 28/· (ii) Which member of the family of 1 do we use to change 7 to ^ ? Which member of the family of 1 do we use to change ^ to \l Do we multiply or divide by the number? Ans. (b) /:x W /ft W 15 20' 5 15' 5 25' 21 28* 7 21* 7 35* (ii) X 3 ' .
If we had a set of five coconuts, we should know there were five of them because we should match the coconuts one to one with this set of numbers (Fig. 1).
Reduce these fractions to the lowest terms. You will divide each fraction by the appropriate member of the family of 1. For example: 27 _^ 27 _ A 81 * 27 ~~ 3* A A *<* A J°_ ^5 ^ Α Α ! ^ ^ ? 9 ? 2 3 0 2 5 2 5 8 § β 4 10' 12' 32' β' ÌOO' 10Ô' 4θ' 27' 4θ' 4θ' 34' 4θ' 5θ' ΙΟθ' 5θ' 75' 48' 9β* Ans. 1 1 1 2 4 1 5 1 1 7 1 3 3 3 1 1 2 2 Ô ' β' ΈΓ' 8 "ΪΓ' 7Γ'4' Τ ' 5' X '10' ΪΛ'2' ΙΓ'3' "ϊ"»3' V3 2' 2' 2' 3' 5'' Τ 4'' VV» 3' 11. Draw a line segment on the blackboard (Fig. 16). 0 L·. FIG. 16. 39 FRACTIONS AND RATIONAL NUMBERS Ask for as many names as possible for describing the distance from zero to point A.