ACT Math : How to find the fractional equivalent of a decimal
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Example Questions
Example Question #2 : Decimals With Fractions
What is 
We need to convert 
To do this, write down
Now, because the decimal goes to the hundreth place, multiply the numerator and denominator of the fraction by 100.
Now, simplify the fraction.
Example Question #3 : Decimals With Fractions
A tub of food contains 
To begin with, it is easiest just to add these decimals together using your calculator:
Now, this is the same thing as:
We can rewrite this:
To find this, you need to give the two numbers a common denominator:
This is your answer.
Example Question #3 : How To Find The Fractional Equivalent Of A Decimal
What is the fractional equivalent of 
In decimal form 
This is equal to
This fraction cannot be reduced any further therefore it is in its final answer form.
Example Question #4 : Decimals With Fractions
Write 0.45 as a fraction.
.45 is equivalent to 45 out of 100, or 
Divide both the numerator and denominator by 5 to simplify the fraction:
Example Question #1 : How To Find The Fractional Equivalent Of A Decimal
Convert this decimal to a fraction in reduced form:
To figure out what fraction this decimal corresponds to, we have to get rid of the repeating part, otherwise we would be dealing with an infinite recursion and we don't have the tools to deal with that yet. Instead, we will set the decimal equal to 
Notice that in 
Now all that remains is to do the algebra.
Example Question #4 : How To Find The Fractional Equivalent Of A Decimal
What is the fractional equivalent of 
To find the fractional equivalent of a decimal, set the decimal as a fraction over 
Now, start simplifying.
Since we cannot reduce further, 
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