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3 years ago

Is 17/8 a repeating decimal

Mathematics

2 answers:

SOVA2 [1]3 years ago

7 0

No it's 2.125 so it's not repeating

expeople1 [14]3 years ago

6 0

17/8 = 2.125 which has the decimal portion terminate or stop. This is not a repeating decimal. This is a terminating decimal.

The denominator 8 can be factored into 2*2*2. Since 2 is the only factor, this means that the decimal terminates. The same rule applies if 5 is present as a factor. If the denominator has other numbers (other than 2 or 5) as factors, then the decimal would repeat in some fashion.

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The solution is:

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Solution:

We have to solve the given expression

Given expression is:

$2\frac{1}{12} - 5\frac{5}{6}$

Let us first convert the mixed fraction to improper fraction

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Thus we get,

$2\frac{1}{12} = \frac{2 \times 12 + 1}{12} = \frac{25}{12}$

$5\frac{5}{6} = \frac{ 5 \times 6 +5}{6} = \frac{35}{6}$

Thus the given expression becomes,

$2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35}{6}$

Make the denominators same for easier calculations

$2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35 \times 2}{6 \times 2}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25-70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} =\frac{-45}{12}$