3 years ago

Find the fraction with a product between 1 and 2

Mathematics

1 answer:

Igoryamba3 years ago

5 0

Answer:

Here is a method that makes it seem easier.

Write down any number between 51 and 59.

For example you might choose 57 = 3*19

Divide both numbers by 10 and write the answer as

0.3 * 1.9 = 0.57

Step-by-step explanation:

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Convert the following repeating decimal to a fraction in simplest form .31 with the 1 repeating

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14/45

Step-by-step explanation:

So we have the fraction:

$0.3\bar1=0.31111...$

We can do this algebraically. Follow to following steps:

Let's let this number equal to n. Thus:

$0.31111...=n$

Since there is only 1 digit repeating, let's multiply everything by 10. So:

$3.1111...=10n$

Now, subtract n from both sides:

$3.1111-n=10n-n$

On the left, substitute the number for n. On the right, combine like terms:

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Remove the decimal by multiplying both sides by 10:

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Reduce:

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And we're done!

Use a calculator to check:

$14/45\stackrel{\checkmark}{=}0.31111...$

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