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Gennadij [26K]
3 years ago
12

Need answer asap.thanks​

Mathematics
1 answer:
Marrrta [24]3 years ago
6 0

Answer:

0.46=\frac{23}{50}

Step-by-step explanation:

To write any decimal as a fraction you divide by 1 and multiply by a number (ranging from 10, 100, 1000 etc.) that will make 0.46 a whole number, this will explain:

Let x = \frac{0.46}{1}

10x = 10*\frac{0.46}{1} =\frac{4.6}{10}

100x = 100*\frac{0.46}{1}=\frac{46}{100} this is our perfect fraction, now we simplify later

100x - 10x = \frac{46}{100} -\frac{4.6}{10}

90x = \frac{46}{100} -\frac{4.6}{10} =0  this is to confirm both fractions are equal

x is the same as \frac{0.46}{1} as \frac{4.6}{10} as \frac{46}{100} but here x = \frac{46}{100} because a fraction has to have no decimals.

So  0.46 is equal any of these values, as a fraction, on the other hand, it's improperly equal to \frac{46}{100} = \frac{23}{50} here I divided by 2 to bring down the proper fraction. (fraction at its simplest form)

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As you can see:

\frac{28}{40}

\frac{7}{10}

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