Joe has 1/2 of a cake he would like to split among three people. What part of the cake will each person get?
1/2 / 3/1 =1/2*1/3=1/6
Draw a picture of half a cake and cut it into 3 pieces :)
To find out what part of the cake each person will get, we need to divide the cake equally among the three people.
Since Joe has 1/2 of the cake, we need to divide 1/2 by 3 to find the portion for each person. To do this, we divide the numerator (1) by the denominator (2) and then multiply it by the reciprocal of the number of people (3):
(1/2) ÷ 3 = (1/2) × (1/3)
To multiply fractions, we multiply the numerators together and the denominators together:
1 × 1 = 1
2 × 3 = 6
So, each person will get 1/6 of the cake.
(1/2) / 3
multiply top and bottom by 2
(2 * 1/2 ) / (2 * 3)
= 1/6