# SSAT Upper Level Math : How to find the fractional equivalent of a decimal

## Example Questions

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

Give the decimal equivalent of .

Explanation:

Divide 1 by 6; the result is

.

That is, the 6 is repeated infinitely. This is equal to .

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

Convert  into a fraction in simplest form.

Explanation:

Think of the decimal as the fraction .

Now, multiply the numerator and denominator by  for every digit after the decimal. In this case, because there are  digits after the decimal, we will be multiplying by  twice, or by .

Now, simplify this fraction.

### Example Question #314 : Number Concepts And Operations

What is the fractional equivalent of

Explanation:

To find the fractional equivalent, we convert the number given into a whole number and divide by the corresponding tenth power needed to move the decimal into a whole number.

So for

we need to multiply by  to turn the decimal into the whole number

We divide  by  to get our fraction

this can be reduced to

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

What is the fractional equivalent of

Explanation:

To find the fractional equivalent, we first convert the decimal into a whole number.

So to convert  into a fraction we need to multiply by  to change the decimal into the whole number .

We can now put  over the number we used to convert the decimal into a whole number.

This can be reduced to

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

Convert  into a fraction.

Explanation:

Write the decimal divided by .

Multiply the numerator and denominator by  to get rid of the decimal, then simplify.

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

Convert  into a fraction.

Explanation:

Write the decimal divided by .

Multiply the numerator and denominator by  to get rid of the decimal, then simplify.

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

What is  as a fraction?

Explanation:

Write the decimal divided by .

Multiply the numerator and denominator by  to get rid of the decimal, then simplify.

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

Convert  to a fraction.

Explanation:

Write the decimal divided by .

Multiply the numerator and denominator by  to get rid of the decimal, then simplify.

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

What is  as a fraction?

Explanation:

Write the decimal divided by .

Multiply the numerator and denominator by  to get rid of the decimal, then simplify.

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

Convert  into a fraction.

Explanation:

Write the decimal divided by .

Multiply the numerator and denominator by  to get rid of the decimal, then simplify.

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