Thanks Howard for our latest Homework Headache. Howard has a question about converting decimals into fractions, he wrote:
Dear Homework Unlocked,
I’m on Homework Help duty tonight and I can’t for the life of me remember how to go from a decimal to a fraction. I know 0.5 equals ½ but we’re trying to find out what fraction 0.04 equals and we are having trouble- can you help?
Most of us don’t convert decimals to fractions every day (or even once a decade!) so there’s no surprise that you don’t remember. We’ll walk you through it step by step. We just posted some new videos on decimals and fractions so for more examples and information see our lesson library here: “Fractions Lessons”.
Let’s get started!
Problem: Convert 0.04 into a fraction
To Change a Decimal into a Fraction we need to follow the steps below:
Rewrite the decimal as a fraction
Determine what multiple of 10 will make the decimal a whole number.
Multiply the numerator and denominator by the same multiple of 10 to get rid of the decimal.
Step 1. Rewrite the decimal as a fraction
Any number can be rewritten as a fraction; that number over 1.
For example, 7 is equal to .
This is true for decimals as well as whole numbers.
So for our current example let’s rewrite 0.04 as .
Step 2. Determine what multiple of 10 will make the decimal a whole number.
Now that we have our fraction we need to remove the decimal place. To do this we have to figure out what multiple of 10 to multiply the decimal by to make it a whole number. In this case, we have to shift the decimal point two places to the right to make 0.04 a whole number, 4.
To shift a decimal point two places to the right we have to multiply by 100.
Step 3. Multiply the denominator and numerator by the same multiplier to remove the decimal point in your fraction.
Since we had to multiply the numerator by 100 to make 0.04 a whole number we also have to multiply the denominator by the same value. Remember, if you only multiplied the numerator we would change the value of our fraction, which we don’t want to do!
0.04 is equal to
We hope this helps, Howard! Remember, if you want a video version of how to convert a decimal into a fraction, watch this lesson.
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