Algebra 1 : How to find a fraction from a percentage

Study concepts, example questions & explanations for Algebra 1

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Example Questions

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Example Question #119 :Fractions And Percentage

What fraction is equivalent to

Possible Answers:

Correct answer:

Explanation:

To find a fraction from a percentage, do the following:

means 40per100, so it is the same as

When we simplify, we get

So, if we writeas a fraction, we get

Example Question #120 :Fractions And Percentage

What fraction is equivalent to

Possible Answers:

Correct answer:

Explanation:

To find a fraction from a percentage, do the following:

means 25per100, so it is the same as

When we simplify, we get

So, if we writeas a fraction, we get

Example Question #121 :Fractions And Percentage

What fraction is equivalent to 33%?

Possible Answers:

Correct answer:

Explanation:

The percentage given

means 33percentorper hundred.So we can re-write it as

Therefore,相当于

Note: Any percentage can be written over 100 and then simplified if needed.

Example Question #122 :Fractions And Percentage

What fraction is equivalent to 45% ?

Possible Answers:

Correct answer:

Explanation:

The percentage given

means 45percentorper hundred.So, we can re-write it as

This can be simplified to

Therefore, the fraction that is equivalent tois

Example Question #123 :Fractions And Percentage

Find the fraction:

Possible Answers:

Correct answer:

Explanation:

A percentage is a number out of 100 parts.

Take the given number, remove the percentage sign, and divide this by 100.

Since this fraction cannot be reduced any further, this is the fraction.

The answer is:

Example Question #124 :Fractions And Percentage

Convertinto a fraction in lowest terms

Possible Answers:

Correct answer:

Explanation:

To convert percentages to fractions divide them by 100 as the denominator.

Then, make sure to reduce to the lowest terms by dividing the numerator and denominator by the same amount until no number goes into both evenly.

Since 72 and 100 are both even numbers they divide by 2.

Both 36 and 50 are still even so they can divide by 2 again.

Neither 18 nor 25 divide by the same number so this is the answer.

Alternatively, we could have divided 72 and 100 by 4 to get the answer in one step of reducing.

Example Question #125 :Fractions And Percentage

Convertto a fraction in lowest terms.

Possible Answers:

Correct answer:

Explanation:

Since percentages are out of 100%, start first by dividing the percentage by 100 to convert it to a fraction.

Simplify the fraction to lowest terms by dividing the numerator (top) and denominator (bottom) by the same number or greatest common factor you can think of. In this case, since both 66 and 100 are even numbers, I know that 2 is a factor so I will divide both numbers by 2.

我再次检查如果任何分为两个p and the bottom but nothing does so this must be the fraction reduced to lowest terms.

Example Question #126 :Fractions And Percentage

Convertto a fraction in lowest terms

Possible Answers:

Correct answer:

Explanation:

Since this percentage has a decimal in part of it, first convert it to a decimal by dividing by 100.

Now, turn this decimal into a fraction by puttingin the numerator and making the denominator the furthest right place value in the decimal. In this case, that would be the 5, which is in the thousandths place/

Finally, reduce this to lowest terms by seeing what number divides into both the numerator and denominator. I know 5 divides into both numbers so I will use that first.

Neither number has any common factors, so this is the final asnwer

Example Question #127 :Fractions And Percentage

Convertto a fraction.

Possible Answers:

Correct answer:

Explanation:

A percent is defined as a number over 100 parts.

Remove the percentage sign and divide the 130 by 100.

Reduce this fraction by cancelling the zeros in the ones place.

The answer is:

Example Question #128 :Fractions And Percentage

Convert 60% into areducedfraction.

Possible Answers:

Correct answer:

Explanation:

We first convert to an unsimplified fraction. We know that all percentages haveas the denominator, so we begin by puttingin the numerator, to get。This is one of the answer choices, but we are not quite finished, because this can be reduced, or simplified. Becauseandboth end in a zero, we know they are divisible by。So we must divideboththe numerator and denominator by。This leaves us with。我们检查是否有任何其他常见的足总ctors and discover that bothandare even numbers. This means that both are divisible by。So when we divide the numerator and denominator by, we are left with。This is fully reduced, because there are no factors thatandhave in common. (Note that there are several ways we could have started this--i.e. beginning by dividing by--but this is one way to go about it. No matter what, if you do it correctly you will arrive at the same answer.)

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