### All Algebra 1 Resources

## Example Questions

### Example Question #61 : How To Find A Fraction From A Percentage

What fraction is equivalent to

**Possible Answers:**

**Correct answer:**

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

means 40 *per* 100, so it is the same as

When we simplify, we get

So, if we write as a fraction, we get .

### Example Question #62 : How To Find A Fraction From A Percentage

What fraction is equivalent to

**Possible Answers:**

**Correct answer:**

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

means 25 *per* 100, so it is the same as

When we simplify, we get

So, if we write as a fraction, we get .

### Example Question #61 : How To Find A Fraction From A Percentage

What fraction is equivalent to 33%?

**Possible Answers:**

**Correct answer:**

The percentage given

means 33 **percent** or **per hundred.** So we can re-write it as

Therefore, is equivalent to .

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

### Example Question #64 : How To Find A Fraction From A Percentage

What fraction is equivalent to 45% ?

**Possible Answers:**

**Correct answer:**

The percentage given

means 45 **percent*** *or **per hundred.** So, we can re-write it as

This can be simplified to

.

Therefore, the fraction that is equivalent to is .

### Example Question #65 : How To Find A Fraction From A Percentage

Find the fraction:

**Possible Answers:**

**Correct answer:**

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 #66 : How To Find A Fraction From A Percentage

Convert into a fraction in lowest terms

**Possible Answers:**

**Correct answer:**

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 #67 : How To Find A Fraction From A Percentage

Convert to a fraction in lowest terms.

**Possible Answers:**

**Correct answer:**

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.

I check again if anything divides into both the top and the bottom but nothing does so this must be the fraction reduced to lowest terms.

### Example Question #61 : How To Find A Fraction From A Percentage

Convert to a fraction in lowest terms

**Possible Answers:**

**Correct answer:**

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 putting in 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 #69 : How To Find A Fraction From A Percentage

Convert to a fraction.

**Possible Answers:**

**Correct answer:**

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 #70 : How To Find A Fraction From A Percentage

Convert 60% into a reduced fraction.

**Possible Answers:**

**Correct answer:**

We first convert to an unsimplified fraction. We know that all percentages have as the denominator, so we begin by putting in the numerator, to get . This is one of the answer choices, but we are not quite finished, because this can be reduced, or simplified. Because and both end in a zero, we know they are divisible by . So we must divide both the numerator and denominator by . This leaves us with . We check to see if there are any other common factors and discover that both and are 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 that and have 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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