Question

convert 1/8 into decimal fraction​

Answer 1

Answer:

To convert 1/8 to a decimal, divide the denominator into the numerator. 1 divided by 8 = . 125. To convert the decimal .

Explanation:

To convert a fraction to a decimal, you must do the division indicated by the fraction bar.

1÷8=

0.125

Answer 2

Step-by-step explanation:

Given: $\frac{1}{8}$

To find: Write the given rational numbers in decimal form.

Solution:

Step 1: Write denominator in terms of ${2}^{n} \times {5}^{m}$

$\frac{1}{8} = \frac{1}{ {2}^{3} }$

Step 2: Multiply and divide by ${5}^{3}$

$\frac{1}{8} = \frac{1 \times 5^{3}}{5^3 \times 2^3}$

or

$\frac{1}{8}= \frac{5^3}{(5\times 2)^3}$

$\frac{1}{8}= \frac{125}{(10)^3}$

$\frac{1}{8}= \frac{125}{1000}$

Step 3: Write the decimal form.

$\frac{1}{8} =\frac{125}{1000} = 0.125$

Extra information:

When a rational number have denominator in the form ${2}^{n} \times {5}^{m}$, here n and m are positive integers, then the rational number have terminating decimal expansion.

After identification, make the powers of 2 and 5 same, so that without actual division we can find decimal form of the number.

Final answer:

$\bf \frac{1}{8} = 0.125$

Hope it helps you.

To learn more on brainly:

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