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Percentage into Ratio

How to convert a given percentage into ratio?

We will follow the following steps for converting a percentage into a ratio:

Step I: Obtain the percentage.

Step II: Convert the given percentage into fraction by dividing it by 100 and removing percentage symbol (%).

Step III: Reduce the fraction obtained in step II in the simplest form.

Step IV: Write the fraction obtained in step III as a ratio.

1. Express each of the following percentage as ratios in the simplest form:

(i) 46 % = 46/100 = 23/50 = 23 : 50

(ii) 20 % = 20/100 = 1/5 = 1 : 5

(iii) 125 % = 125/100 = 5/4 = 5 : 4

(iv) 34% = 34/100 = 17/50= 17 : 50

(v) 1 % = 1/100 = 1 : 100

2. Express each of the following fraction percentage into ratio in lowest term:

(i) 3/4 % = 3/4 × 1/100 = 3/400 = 3 : 400

(ii) 6²/₃ % = 20/3 % = 20/3 × 1/100 = 20/300 = 1 : 15

(iii) 3/5 % = 3/5 × 1/100 = 3/500 = 3 : 500

(iii) 6²/₅ % = 32/5 % = 32/5 × 1/100 = 32/500 = 8/125 = 8 : 125

(iv) 5³/₈ % = 43/8 % = 43/8 × 1/100 = 43/800 = 43 : 800

3. Express each of the following decimal percentage as ratios in the simplest form:

(i) 16.5 % = 165/10 % = 165/10 × 1/100 = 165/1000 = 33/200 = 33 : 200

(ii) 0.4 % = 4/10 % = 4/10 × 1/100 = 4/1000 = 1/250 = 1 : 250

(iii) 2.5 % = 25/10 % = 25/10 × 1/100 = 25/1000 = 1/40 = 1 : 40

(iv) 10.10 % = 1010/100 % = 1010/100 × 1/100 = 1010/10000 = 101/1000 = 101 : 1000

(v) 1.2 % = 12/10 % = 12/10 × 1/100 = 3/250 = 3 : 250

Fraction into Percentage

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Percentage into Ratio

Ratio into Percentage

Percentage into Decimal

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