# SSAT Middle Level Math : How to find the decimal equivalent of a fraction

## Example Questions

### Example Question #1311 : Numbers And Operations

Write as a fraction in lowest terms:

Explanation:

We can use algebra to find the fraction by setting  . Then:

and

Subtract as follows:

### Example Question #1312 : Numbers And Operations

Explanation:

The question is asking you to add the two numbers and find its equivalent in decimal form. Naturally,

We must find out how to represent  as a decimal in order to solve the problem. To find the decimal form, divide 1.00 by 20.

You divide by 1.00 because decimals are based off of this number (fractions are based on 1 and percents on 100%). The answer  is exactly . In order to figure out what the equivalent of  is, simply multiply your answer by the numerator, 3.

### Example Question #1313 : Numbers And Operations

What is the decimal equivalent of ?

Explanation:

To find the decimal equivalent of a fraction, convert the fraction's denominator to a factor of . In this problem, we can convert the denominator to  by multiplying both the top and bottom of the fraction by :

, which is equivalent to

### Example Question #1314 : Numbers And Operations

What is the decimal equivalent of ?

Explanation:

To find the decimal equivalent of a fraction, convert the denominator of the fraction to a factor of .

, which is equal to .

### Example Question #1315 : Numbers And Operations

Write  as a decimal.

Explanation:

Divide 11 by 12.

Note that the "6" repeats forever. This can be written as .

### Example Question #1316 : Numbers And Operations

Arrange these numbers from least to greatest:

Explanation:

To arrange negative numbers from least to greatest, we must arrange them so that their absolute values (values without the negative symbol) go from greatest to least.

This can be done by going from right to left starting with the units digit. The units and tenths digits are the same, but the hundredths digit of 0.40444 is the least, so this number is less than the other two. The thousandths digit of 0.44044 is less than that of 0.44404, so it is the lesser of the two that remain. Therefore, in descending order, the absolute values are

,

and in ascending order, the numbers are

.

### Example Question #1317 : Numbers And Operations

How many of the following four numbers are elements of the set ?

(A)

(B)

(C)

(D)

Two

Three

One

Four

None

Two

Explanation:

and , so we are looking for numbers that fall between 0.4 and 0.6 exclusive. Of the four choices, 0.44 and 0.55 fall between these numbers. The correct response is two.

### Example Question #1318 : Numbers And Operations

Arrange these numbers from least to greatest:

Explanation:

Rewrite all three numbers as their decimal equivalents by dividing numerator by  denominator.

To arrange negative numbers from least to greatest, we must arrange them so that their absolute values (values without the negative symbol) go from greatest to least. In descending order, the absolute values are

so, in ascending order, the numbers themselves are

,

or, as fractions,

.

### Example Question #11 : How To Find The Decimal Equivalent Of A Fraction

Arrange these numbers from least to greatest:

Explanation:

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator.

From the decimal equivalents, the fractions can be arranged as follows:

### Example Question #841 : Fractions

Express  as a fraction in simplest form.