keith went to the candy store and bought 2/6 of a pound of candy.8/10 of keiths candy was chocolate. how.many pounds of chocolate candy did keith buy?
(2/6)*1 = 1/3 pounds of candy
(1/3) * (8/10) = 8/30 = 4/15
To find out how many pounds of chocolate candy Keith bought, we need to multiply the total amount of candy he bought by the fraction representing the proportion of chocolate candy.
Step 1: Calculate the total amount of candy Keith bought
Keith bought 2/6 of a pound of candy.
To simplify this fraction, we can divide the numerator and denominator by their greatest common divisor, which is 2:
2 ÷ 2 = 1
6 ÷ 2 = 3
So 2/6 of a pound of candy is equivalent to 1/3 of a pound of candy.
Step 2: Calculate the amount of chocolate candy Keith bought
Keith's candy was made up of 8/10 chocolate.
To simplify this fraction, we can divide the numerator and denominator by their greatest common divisor, which is 2:
8 ÷ 2 = 4
10 ÷ 2 = 5
So 8/10 of Keith's candy is equivalent to 4/5.
Step 3: Multiply the total candy amount by the proportion of chocolate candy.
To calculate the amount of chocolate candy Keith bought, multiply 1/3 by 4/5:
(1/3) * (4/5) = 4/15
Therefore, Keith bought 4/15 of a pound of chocolate candy.