Question

convert 55 2/3 percent into fraction and decimal
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Answer 1

Answer:

$55 \frac{2}{3} \% = \frac{167}{3} \% = \frac{167}{3} \times \frac{1}{100 } = 55.67 \times \frac{1}{100} = \frac{5567}{10000} = 0.5567$

Step-by-step explanation:

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Answer 2

The fractional equivalent is 167/300

The decimal equivalent is 0.55

GIVEN

$percentage \: = 55 \frac{2}{3} %$

TO FIND

fraction and decimal of the given percentage

SOLUTION

The above percentage is given in a mixed number form.

We will first convert the mixed fraction into an improper fraction.

To convert it into an improper fraction,

we will multiply the denominator by the whole number and add the answer to the numerator, the resultant will become the new numerator.

$55 \frac{2}{3} = 3 \times 55 + 2$

improper fraction = 167/3 %

Now to convert it into a fraction we need to divide the fractional percentage by 100

=

$\frac{ \frac{167}{3} }{100}$

this can be rewritten as -

$\frac{167}{3} \times \frac{1}{100}$

The fractional equivalent will be 167/300

To find the decimal equivalent,

We will divide 167 by 300

So the decimal equivalent will be 0.55

Hence,

The fractional equivalent is 167/300

The fractional equivalent is 167/300 The decimal equivalent is 0.55

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