In end of term tests Zanna got the following marks

mathematics 54/75
history 27/40
geography 39/50
english 48/60
french 25/40
art 15/20

what was her best subject
her 2nd best
her 3rd
her 4th
her 5th
her 6th

please show workings

You need to find the percentages for each of these classes.

For instance -- mathematics -- 54 / 75 = 0.72 = 72%

Figure the others the same way and then compare the percentages.

easiest way :

divide each fraction and compare their decimal representation

or (harder way)

if you have learned how to find a common denominator, change each fraction so they have a common denominator. Then you can easily compare them.

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To determine Zanna's best subject, we need to compare the marks she received in each subject. The subjects are: mathematics, history, geography, English, French, and art.

1. Mathematics: 54/75
2. History: 27/40
3. Geography: 39/50
4. English: 48/60
5. French: 25/40
6. Art: 15/20

To find Zanna's best subject, we can compare the fractions by converting them into decimals.

1. Mathematics: 54/75 ≈ 0.72
2. History: 27/40 ≈ 0.675
3. Geography: 39/50 ≈ 0.78
4. English: 48/60 ≈ 0.8
5. French: 25/40 ≈ 0.625
6. Art: 15/20 ≈ 0.75

Now, let's arrange the decimals in descending order to determine Zanna's best subject:

0.8 (English) > 0.78 (Geography) > 0.75 (Art) > 0.72 (Mathematics) > 0.675 (History) > 0.625 (French)

Based on the highest decimal, Zanna's best subject is English (0.8).

Now, let's determine her 2nd, 3rd, 4th, 5th, and 6th best subjects by following the same process.

2. 0.78 (Geography)
3. 0.75 (Art)
4. 0.72 (Mathematics)
5. 0.675 (History)
6. 0.625 (French)

So, the subjects in order, from Zanna's best to worst, are:

1. English
2. Geography
3. Art
4. Mathematics
5. History
6. French