Question

Bishwant buys two cakes of the same size. He cuts one cake into 4 equal pieces and gives 3 pieces to Pratik. He divides another cake into 8 equal pieces and gives 5 pieces to Pranav. a) What fractions of the cakes does Pratik and Pranav get? b) Draw two circles and show these fractions separately. c) Find the sum of these two fractions. d) Is the sum proper or improper fraction? Give reason. e) Convert the sum into a mixed number.​

Answer 1

Pratik gets 3/4 of the cake and Pranav gets 5/8 of the cake. The sum of these fractions is 8/12, which is an improper fraction. The mixed number representation of the sum is 0 8/12.

Step-by-step explanation:

a) Pratik gets 3 out of 4 equal pieces of the cake. Therefore, Pratik gets a fraction of 3/4 of the cake. Pranav gets 5 out of 8 equal pieces of the cake. Therefore, Pranav gets a fraction of 5/8 of the cake.

b) To represent these fractions visually, draw two circles. Divide one circle into 4 equal parts and shade in 3 parts to represent the fraction 3/4. Divide the second circle into 8 equal parts and shade in 5 parts to represent the fraction 5/8.

c) To find the sum of these fractions, add the numerators: 3 + 5 = 8. The denominator remains the same: 4 + 8 = 12. Therefore, the sum of the fractions is 8/12.

d) The sum 8/12 is an improper fraction because the numerator (8) is greater than the denominator (12).

e) To convert the sum 8/12 into a mixed number, divide the numerator (8) by the denominator (12). The quotient is 0 with a remainder of 8. Therefore, the mixed number representation of 8/12 is 0 8/12.