Worksheet 2 - Fractions

Worksheet 2 – Frac/ons MTH1W Jensen Unit 1 – Number Sense 1) Express each sum of unit fractions as a single fraction ! ! ! ! ! ! ! ! ! ! ! a) " + " + " + " + " + " + " + " + " + " ! ! ! ! b) # + # + # + # + # 1015 5 S 2) Express each of the following as a sum of unit fractions $ & a) % b) ' 4 It 3) Convert each mixed number to an improper fraction ! " a) 3 % 3153 ( b) 10 & 1 c) −3 !! 10177 3 73 31117 2 7 4) Convert each improper fraction to a mixed number a) !! $ 23 b) (' & 544 7121s c) − !% ( 7s 211 5) Add/subtract the following fractions. Express answer in lowest terms. & % a) ) − ) b) *% # " & +# s 4 I g ¾ ⅓ % ' d) −4 + " ! ! e) ( − $ - 13 53 " f) 3 " + $ - - ! c) $ − ( 191 4 49 92 17 4,92 ! % & g) 5 ( + # ( It 3 38 19 ! h) !+ + !% " % i) " + !( − # 430 8 38S 8 - 10 12 33 ¼ 6) Find each product. Express answers in lowest terms. a) *% ! $ & $ ∙" b) ' ∙ $ , . e) " ∙ 6 d) *- ∙ , c) I & a *!! *& % ∙ $ ( ! f) 2 " ∙ 1 $ 14 14 7) Find each quotient a) *! ( ÷7 2 1 ! ) ! b) ( ÷ & c) ' ÷ 8 2 it *$ " g 12 L d) *!& !+ ' ÷$ 5,1 42 3,4 # & e) & ÷ # 9 6 ! ( f) 3 % ÷ 2 " 8) The waiters at a restaurant have agreed to give one third of their tips to the kitchen staff. If a waiter collects $72 in tips, how much does he end up keeping? Amountkept 72 9) A ratchet set has sockets labeled " 72 24 72 ! , , 48 % !# $ !# a) By what fraction are the sockets increasing? 16 4 46 They are increasing to by to b) Calculate the size of the fourth socket in this set (make sure your answer is in lowest terms). 4ᵗʰsocket 10) Mike walked & ) speed to of a kilometer in distance time ! $ of an hour. What was his average walking speed per hour? 3km hour 278 4 3.5km h 11) Mr. Jensen made 10 pounds of pizza but he can only eat ¼ of a pound a day. How many days will it take him to eat 10 pounds of pizza? Timeto eat pizza 10 10 4 40days 12) Samir plans to attach a shelf to his bedroom wall. So that he can support the load that will be placed ! on the shelf, he’ll be fastening it to the wooden studs behind the wall using 2 ( " screws. Each screw will & ! pass throw the shelf that is ) " thick and a ( " sheet of drywall before reaching the stud. How far will each screw rest in the stud? Amount into stud 2 Z 52 78 2 44 78 98 13) When adding or subtracting mixed numbers, can the whole parts and the fraction parts be added or subtracted separately? Explain with an example or counter example. Yes Example 25 43 2 5 2 4 6 4 39 4 35 5 35 23 43