Mathematics: Show me step by step how to convert a repeating decimal 3.152 into a improper fraction or mixed number

Show me step by step how to convert a repeating

Ответ:

AutumnGarringer

14.03.2022

Step 1. Count the number of repeating digits.
Step 2. Multiply the number by 10 to that power.
Step 3. From that product, subtract the original number.
Step 4. Divide the result by 1 less than the multiplier of Step 2.
Step 5, Reduce the fraction.

For your number $3. \overline{152}$
Step 1. There are 3 repeating digits
Step 2. The multiplier is $10^{3}=1000$ . The multiplied number is
$1000 \cdot 3. \overline{152}=3152. \overline{152}$
Step 3. Subtract the original number
$3152. \overline{152}-3. \overline{152}=3149$
Step 4. Divide by 1000 - 1 = 999
$\dfrac{3149}{999}=3 \frac{152}{999}$
This fraction does not reduce, so you are done.

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Ответ:

luccim

03.07.2021

Mathematics

The number would be 6 man

Step-by-step explanation:

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Show me step by step how to convert a repeating decimal 3.152 into a improper fraction or mixed number

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