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

## Example Questions

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

Write the decimal equivalent of .

Explanation:

### Example Question #2 : How To Find The Decimal Equivalent Of A Fraction

Express 0.014 as a fraction in lowest terms.

Explanation:

The fraction has its last nonzero digit in the thousandths place, so write the number, without the decimal point, over 1,000. Then reduce.

### Example Question #3 : How To Find The Decimal Equivalent Of A Fraction

Express  as a decimal.

Explanation:

### Example Question #4 : How To Find The Decimal Equivalent Of A Fraction

Which of the following is NOT equal to ?

Explanation:

All of the answer choices multiply to give you 10 except

so that is the correct answer.

### Example Question #5 : How To Find The Decimal Equivalent Of A Fraction

What fractions equals ?

Explanation:

is equal to .

Thus we are looking for a fraction that reduces to .

reduces to  (divide numerator and denominator by 4).

reduces to 2 (divide numerator and denominator by 4).

reduces to 4 (divide numerator and denominator by 2).

reduces  (divide numerator and denominator by 4).

is the only one that reduces to  (divide numerator and denominator by 8).

### Example Question #6 : How To Find The Decimal Equivalent Of A Fraction

Write as a decimal:

Explanation:

That is, the digit 5 will repeat infinitely. This can be written as .

### Example Question #7 : How To Find The Decimal Equivalent Of A Fraction

Write as a decimal:

Explanation:

That is, the group "81" will repeat infinitely. This quotient can be written as .

### Example Question #8 : How To Find The Decimal Equivalent Of A Fraction

Rewrite as a decimal:

Explanation:

That is, after 5 and 8, the digit 3 will repeat infinitely. This can be rewritten as .

### Example Question #9 : How To Find The Decimal Equivalent Of A Fraction

Write as a decimal:

Explanation:

That is, after the 2, the digit 7 repeats infinitely. This can be rewritten as .

### Example Question #10 : How To Find The Decimal Equivalent Of A Fraction

Express  as a decimal.