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LenaWriter [7]
3 years ago
12

Convert the decimal expansion 0.1777 into a rational number

Mathematics
1 answer:
Helen [10]3 years ago
5 0

Answer:

The rational form of the given number 0.1777  = \frac{1777}{10,000}

Step-by-step explanation:

The rational number is expressed as a number on the form of (\frac{p}{q} ) , q \neq 0

Now,here the given number in decimal form = 0.1777

To remove the decimal, firstly count the number of digits AFTER DECIMAL.

Here, number of digits after decimal = 4

SO, the decimal can be removed and replaced by 1 , by dividing with 1,0000.

\implies 0.1777  = \frac{01,777} {10,000}  = \frac{1777}{10,000}

Hence, the rational form of the given number 0.1777  = \frac{1777}{10,000}

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