# ISEE Lower Level Quantitative : 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

Which fraction is the smallest?

Explanation:

Fractions get smaller as the numerator (top number) gets smaller, and the denominator (bottom number) gets bigger.  has the smallest numerator AND the largest denominator of any of the fractions.

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

Convert 0.5 into a fraction.

Explanation:

If a number is one position to the right of the decimal, the the decimal is equal to that number divided by ten. 0.5 is equal to .

We reduce the fraction to its simplest form. We divide the numerator by 5 and the denominator by 5.

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

Convert  into a decimal.

Explanation:

is also called "seven-tenths". The tenths spot is to the right of the decimal point.  is equal to seven tenths.

Ones:

Tenths:

Hundredths:

Thousandths:

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

Which is the smallest fraction?

Explanation:

is the smallest fraction because it has the biggest denominator (which means that all of the pieces it's divided up into are the smallest out of the choices). Also, only 1 of those pieces would be shaded, so it is the smallest out of the choices.

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

Find the decimal equivalent of .

Explanation:

To convert a fraction to a decimal, the denominator of the fraction must be 100.

becomes . When the number is over one hundred, you can simply write it as a decimal, giving you 0.15.

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

Write  as a decimal.

Explanation:

The fraction is 6 hundredths, therefore the decimal must have the 6 in the hundredths place, or .06.

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

What is the decimal equivalent to , rounded to two decimal points?

Explanation:

To convert a fraction into a decimal, divide the numerator by the denominator.:

This number has three digits of precision, but the question stem asks for two.  is less than , so  rounds down to .

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

Which fraction is largest?

Explanation:

is equal to 50%, while all the other fractions are between 10% and 36%. A good rule of thumb is that the smaller the denominator, the larger the fraction's value.

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

Which of these numbers is equal to ?

Explanation:

To change a fraction into a decimal, divide the numerator by the denominator.

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

Which of these numbers is equal to ?