Question

Write the decimal expansion of the following 17/8

Answer 1

The decimal expansion of  17/8 is 2.125.

Step-by-step explanation:

Given:

Write the decimal expansion of the following 17/8

Solution:

To find the decimal equivalent of a fraction, divide the numerator by the denominator

Decimal is the way of writing the numbers where each of the given digit represents the "different power of 10".

It needs a decimal point also (dot) to separate the fractional parts and the intrgral parts of a number.

Hence, $\frac{17}{8} = 2.125$.

To know more:

State whether 17/8 will have a terminating decimal expansion or a non - terminating repeating decimal.

https://brainly.in/question/4342307

Answer 2

Answer:

$\red { \frac{17}{8} }\green {= 2.125}$

Step-by-step explanation:

$Given \: rational \: number \: \frac{17}{8}$

$= \frac{17}{2^{3}}\\= \frac{17\times 5^{3}}{2^{3}\times 5^{3}}\\= \frac{17 \times 125}{(2\times 5)^{3}}\\= \frac{2125}{1000}\\= 2.125$

Therefore.,

$\red { \frac{17}{8} }\green {= 2.125}$

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