find out the basics to convert decimal to portion Learn the actions to easily perform the conversion. Examples are provided.

The study tips and also math video will define more.

You are watching: What is .12 as a fraction



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The example below shows how you can transform 0.12 come a fraction:

0.12 has two decimal places. To eliminate the decimal allude in 0.12, we have the right to multiply 0.12 through 100. This gives 12, as shown below:


because we multiply 0.12 v 100 to acquire 12, the is necessary to divide 12 by 100 so that it will remain equivalent to 0.12. By law so, we have a fraction as presented below:



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00:00:03.210In this lesson, we will certainly learn exactly how to convert decimal come fraction.00:00:09.150Let"s begin by evaluating this fraction, 1/2. Now, we know that this fraction is the very same as 1 separated by 2.00:00:20.090By dividing, we get 0.5.00:00:24.190Now, if us are offered 0.5, exactly how do we convert 0.5 ago to fraction, 1/2? Here’s how.00:00:35.210Logically, to transform 0.5, we need to discover a way to remove this decimal point.00:00:43.110To carry out so, since 0.5 has 1 decimal place, we deserve to multiply it through 10. By law so, we get 5.00:00:54.080However, because we multiply 0.5 through 10, we need to divide it by 10 to keep the equation equal.00:01:02.190Now, we have, (0.5x10)/10. Simplifying the numerator offers the fraction, 5/10.00:01:14.050Note that, we deserve to simplify this fraction, by separating the numerator and also denominator through 5. 00:01:21.240This offers 1/2.00:01:24.230With this, us have effectively converted 0.5 to a fraction, 1/2.00:01:35.180Now, let"s take a look at at an ext examples to transform decimal come fraction.00:01:41.170Convert 0.19 to a fraction.00:01:46.030Now, since 0.19 has actually 2 decimal places, we deserve to remove the decimal point, by multiplying 0.19 with 100.00:01:56.240This provides 19.00:02:00.050Since we multiplied through 100, we should divide 19 v 100, so the this term continues to be equal to 0.19.00:02:10.160Now, we have a fraction and this portion cannot it is in simplified. Hence, we have converted 0.19 to a fraction, 19/100.00:02:25.160Next example convert 0.128 to a fraction.00:02:31.130Similar to the vault example, due to the fact that 0.128 has actually 3 decimal places, we can remove the decimal point by multiplying 0.128 with 1000.00:02:44.090This offers 128. Now, because we multiplied by 1000, we need to divide 128 v 1000 to store this term amounts to to 0.128.00:02:59.030Hence, we have actually 128/1000.00:03:05.010Now, notification that we can simplify this fraction by separating the numerator and denominator through 8.00:03:12.020By act so, we obtain 16/125. This portion cannot be simplified further. Therefore, 0.128 in the kind of portion is, 16/125. 00:03:29.160This is all for this lesson. Shot out the exercise questions to further your understanding.

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