Multiplying a Fraction and a Whole Number

November 21. 2013

3 × ⅚• Method # 1 – Use addition

⅚ + ⅚ + ⅚ = 15/6

• Method # 2 – Multiply whole # by numerator

3 × ⅚ = 15/6

• Always have answers in lowest terms and as proper fractions or mixed numbers

• Proper Fractions areDenominator greater than numerator:½, ⅖, ⅞

• Mixed numbers areA whole number and a proper fraction:1¼, 2⅗, 4⅜

• 15/6 is improper (numerator greater than denominator) therefore convert to mixed number

• We do this by finding out how many 6’s go into 15 or dividing 15 by 6…

• Remember, that line in a fraction is a line of division and we can use the word OF to mean X (times)

Try These Out

1. 2 × ⅚2. 4 × ⅔3. ⅙ of 34. ¾ of 2

Examples

5. A spider has 8 legs. An ant has ¾ as many legs as a spider. How many legs does an ant have?

6. Jenelle is making a recipe that calls for 6 scoops of flour. She wants to make only ⅔ of the recipe. How many scoops will she need to use?

Multiplying Fraction with Whole Numbers Quiz #1

1) 4 x 5/6 =2) 2 x 3/5 =3) 2 x 5/6 =4) 8 x 2/5 =5) 3 x 4/7 =6) 4/5 of 97) 1/3 of 48) 2/3 of 59) 5/8 of 110) 4/7 of 10

11) The average mass of a porcupine is about 12kg. The average mass of a raccoon is about ¾ of that, What is the average mass of a raccoon?

12) A bouncy ball if dropped to the ground bounces back 2/3 of its previous height. If the ball is dropped from 72 cm, how far will it travel by its third bounce?

Answers

1) 3 and 1/32) 1 and 1/53) 1 and 2/34) 3 and 1/55) 1 and 5/76) 7 and 1/57) 1 and 1/38) 3 and 1/39) 5/8

10) 5 and 5/711) 12 x ¾ = 9kgTherefore the average mass of a racoon is 9kg.

12) 72+48+48+32+32= 232cmTherefor by the third bounce the ball travels 232cm.