find out the basics to convert decimal to fraction Learn the actions to quickly perform the conversion. Examples are provided.

The examine tips and also math video clip will describe more.

You are watching: Which fraction represents the decimal 0.12



reminder #1

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

0.12 has actually two decimal places. To remove the decimal allude in 0.12, we can multiply 0.12 with 100. This offers 12, as presented below:


due to the fact that we multiply 0.12 v 100 to get 12, the is necessary to divide 12 by 100 so that it will certainly remain tantamount to 0.12. By doing so, we have actually a portion as presented below:



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00:00:03.210In this lesson, we will learn just how to convert decimal come fraction.00:00:09.150Let"s start by assessing this fraction, 1/2. Now, we know that this portion is the same as 1 separated by 2.00:00:20.090By dividing, we acquire 0.5.00:00:24.190Now, if we are provided 0.5, just how do we convert 0.5 earlier to fraction, 1/2? Here’s how.00:00:35.210Logically, to transform 0.5, we need to discover a way to eliminate this decimal point.00:00:43.110To carry out so, because 0.5 has actually 1 decimal place, we can multiply it through 10. By law so, we gain 5.00:00:54.080However, because we main point 0.5 v 10, we need to divide that by 10 to save the equation equal.00:01:02.190Now, we have, (0.5x10)/10. Simple the numerator offers the fraction, 5/10.00:01:14.050Note that, we have the right to simplify this fraction, by separating the numerator and denominator with 5. 00:01:21.240This provides 1/2.00:01:24.230With this, we have successfully converted 0.5 to a fraction, 1/2.00:01:35.180Now, let"s take a look at much more examples to transform decimal to fraction.00:01:41.170Convert 0.19 to a fraction.00:01:46.030Now, due to the fact that 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 with 100, we need to divide 19 v 100, so that this term remains equal come 0.19.00:02:10.160Now, we have actually a portion and this fraction cannot be simplified. Hence, we have actually converted 0.19 come a fraction, 19/100.00:02:25.160Next example convert 0.128 come a fraction.00:02:31.130Similar come the previous example, because 0.128 has actually 3 decimal places, we have the right to remove the decimal allude by multiply 0.128 v 1000.00:02:44.090This provides 128. Now, because we multiply by 1000, we need to divide 128 with 1000 to keep this term amounts to to 0.128.00:02:59.030Hence, we have 128/1000.00:03:05.010Now, notice that we deserve to simplify this portion by dividing the numerator and also denominator through 8.00:03:12.020By law so, we acquire 16/125. This portion cannot be streamlined further. Therefore, 0.128 in the kind of portion is, 16/125. 00:03:29.160This is every for this lesson. Shot out the exercise questions to more your understanding.

Multiple selection Questions (MCQ)

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