SAT Math : How to find the fractional equivalent of a decimal

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #7 : Decimals With Fractions

Write 0.45 as a fraction.

Possible Answers:

Correct answer:

Explanation:

.45 is equivalent to 45 out of 100, or .

Divide both the numerator and denominator by 5 to simplify the fraction: 

Example Question #1 : How To Find The Fractional Equivalent Of A Decimal

A tub of food contains  pounds of vegetables,  pounds of lard, and  pounds of sausage.  What is its total weight as an improper fraction?

Possible Answers:

Correct answer:

Explanation:

To begin with, it is easiest just to add these decimals together using your calculator:

Now, this is the same thing as:

We can rewrite this:

To find this, you need to give the two numbers a common denominator:

This is your answer.

Example Question #22 : Decimals

What is the fractional equivalent of ?

Possible Answers:

Correct answer:

Explanation:

In decimal form  is said 33 hundredths.

This is equal to

.

This fraction cannot be reduced any further therefore it is in its final answer form.

Example Question #1 : How To Find The Fractional Equivalent Of A Decimal

Convert the decimal to fraction form and reduce it to its simplest form. 

Possible Answers:

Correct answer:

Explanation:

In order to convert  to a fraction, you would first begin with , because the decimal literally reads  thousandths. You can reduce by  a few times or just begin by dividing both numbers by  to get .

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