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

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 #4 : 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 #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

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 #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 #8 : 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 #9 : 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 #10 : How To Find The Fractional Equivalent Of A Decimal

Convert  into a fraction.