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

Example Questions

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Example Question #150 : Numbers And Operations

Rewrite  as a decimal.

Explanation:

Divide  by ; the result is .

You may also recognize that is equal to , and will be equal to times this value.

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

How do you write 0.125 as a fraction?

Explanation:

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

Express  as a decimal.

Explanation:

Divide the numerator by the denominator:

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

Express 0.36 as a fraction in simplest form.

Explanation:

Write the expression, without the decimal point (36), over the apporpriate power of 10 (100, since the last digit falls in the hundredths place). Then reduce:

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

Which is equivalent to this fraction?

Explanation:

Divide:

Example Question #151 : Numbers And Operations

Write as a decimal:

Explanation:

Divide 17 by 45, adding a decimal point and zeroes as needed:

The 7 repeats infinitely. The decimal is therefore .

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

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

Convert 0.017 into a fraction.

Explanation:

0.017 is equal to 17 thousandths (because it extends 3 decimal places), therefore:

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

Write as a decimal: