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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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