1.5 as a Fraction (simplified form)
In order to express 1.5 as a fraction, or any decimal as a fraction, we need to first get it to a whole number over a whole number. In this case if we consider 1.5 to be 1.5/1 we can multiple both the numerator and the denominator by 10:
10/10 * 1.5/1
This gives 15/10.
Next we find the lowest common factor for the numerator and denominator as shown in the video. That means that 1.5 can be expressed as the fraction 15/10 or 1 1/2 (one and one-half).
When we express numbers as fractions we need to make sure we have both the numerator and denominator in their simplest form. We can do this by dividing both by a common factor.
This general technique can be used to find the fraction for any decimal number. Note that for something like 0.256 you would only multiple by 1000/1000. For 0.88 you would multiply by 100/100.
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