Monique Henson

2023-03-29

Please, can u convert 3.16 (6 repeating) to fraction.

popunjati7z8a

Beginner2023-03-30Added 4 answers

To convert the decimal number $3.16\stackrel{\u2015}{6}$ (with the repeating 6) to a fraction, we can follow these steps:

Let $x=3.16\stackrel{\u2015}{6}$.

We can multiply both sides of the equation by a power of 10 to eliminate the repeating decimal part. Since there is one digit repeating after the decimal point, we multiply by 10:

$10x=31.66\stackrel{\u2015}{6}$

Next, we subtract the original equation from the multiplied equation to eliminate the repeating part:

$10x-x=31.66\stackrel{\u2015}{6}-3.16\stackrel{\u2015}{6}$

Simplifying the equation, we get:

$9x=28.5$

Now, we can solve for $x$ by dividing both sides of the equation by 9:

$x=\frac{28.5}{9}$

Simplifying the fraction, we have:

$x=3\frac{1}{6}$

Therefore, the decimal $3.16\stackrel{\u2015}{6}$ is equal to the fraction $3\frac{1}{6}$.

Hence, the answer is $3\frac{1}{6}$.

Let $x=3.16\stackrel{\u2015}{6}$.

We can multiply both sides of the equation by a power of 10 to eliminate the repeating decimal part. Since there is one digit repeating after the decimal point, we multiply by 10:

$10x=31.66\stackrel{\u2015}{6}$

Next, we subtract the original equation from the multiplied equation to eliminate the repeating part:

$10x-x=31.66\stackrel{\u2015}{6}-3.16\stackrel{\u2015}{6}$

Simplifying the equation, we get:

$9x=28.5$

Now, we can solve for $x$ by dividing both sides of the equation by 9:

$x=\frac{28.5}{9}$

Simplifying the fraction, we have:

$x=3\frac{1}{6}$

Therefore, the decimal $3.16\stackrel{\u2015}{6}$ is equal to the fraction $3\frac{1}{6}$.

Hence, the answer is $3\frac{1}{6}$.

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