Question

3.1. 1 Three friends Anna, Manna and Hanna are doing the decorations for matric farewell dance. Anna put up two - fifth of the decoration, Manna put up one-fourth and Hanna put up three-tenth of the decoration. Is this job complete at this stage? If not, what fractional amount of job is still left to do? Show all necessary calculations to prove your answer. [13]​

Answer 1

Explanation:

To determine if the job is complete, we need to add up the fractions of the decoration that each person put up:

Anna: 2/5

Manna: 1/4

Hanna: 3/10

Now we can find the total fraction of the decoration that they put up by adding these fractions:

2/5 + 1/4 + 3/10 = 16/40 + 10/40 + 12/40 = 38/40

So they have completed 38/40 of the decoration. To find the fraction of the job that is still left to do, we can subtract this from 1:

1 - 38/40 = 2/40

Therefore, there is still 2/40 of the decoration left to do, or 1/20 of the total job.