Converting Non Terminating Repeating Decimals into Fractions
Converting Non Terminating Repeating Decimals into Fractions
Non Terminating Repeating Decimals:
The rational numbers which when expressed in decimal form by division method, no matter how long they are divided, they always leave a remainder . In other words, the division process never comes to an end. This is due to the reason that in the division process the remainder starts repeating after a certain number of steps. In such cases, a digit or a block of digits repeats itself.For example, 0.3333...,0.1666666....,0.123123123....,1.2692307692307692307.... etc. Such decimals are called non-terminating repeating or recurring decimals. These decimal numbers are represented by putting a bar over the first block of the repeating part and omit the other repeating blocks.
Thus, we write
,
and
.
The decimal expansion of the number | |||
| Right Option : D | |||
| View Explanation | |||
Express each of the following mixed recurring decimals in the form | |||
| Right Option : A | |||
| View Explanation | |||
Convert the following decimal number in the form | |||
| Right Option : B | |||
| View Explanation | |||
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