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42 votes
42 votes
Convert 4.5% to a fraction in simplest form and a decimal.

User Jcz
by
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1 Answer

22 votes
22 votes

Answer:

Decimal = 0.045 Fraction = 9/200

Explanation:

Decimal

To turn a percentage into a decimal, you need to divide by 100 OR move the decimal point two times to the right.

4.5 / 100 = 0.045

Fraction

Now for fractions it is different. Normally you would also divide by 100 and then put what you get over 100 but in this situation it is different. Here you would actually Multiply by 10 so that you decimal becomes a whole number.

4.5 x 10 = 45

Then, you take 100 and multiply it by whatever you multiplied you percentage with. This will be your denominator.

100 x 10 = 1000

Fraction = 45/1000

Now you need to simplify. Find the greatest common factor and divide it by that.

The GCF here is 5.

45/5 = 9

1000/5 = 200

Your final answer is 9/200

User Ege Bayrak
by
2.6k points