Question

How do you write $\dfrac{5}{{16}}$ as percentage ?

Answer 1

Hint: First convert the given fraction into decimal number, and then convert the decimal number in fraction form by multiplying it with $100$. To convert a fraction number into decimal form, divide the numerator of the fraction with its denominator and note the obtained quotient that will be the decimal equivalent of the fraction.

Complete step by step answer:
To write the given fraction $\dfrac{5}{{16}}$ as percentage, we need to first convert the fraction into decimal form. Dividing the numerator of the given fraction $(5)$ with its denominator $(16)$ in order to get the decimal equivalent of the given fraction,
$ \Rightarrow 5 \div 16 = 0.3125$
So we get the decimal equivalent of the fraction $\dfrac{5}{{16}} = 0.3125$
Multiplying the calculated decimal equivalent of the fraction with $100$ to get the percentage as follows,
$0.3125 \times 100\% = 31.25\% $

Therefore we can write $\dfrac{5}{{16}} = 31.25\% $.

Additional information:
-Fraction defines how many parts of a given quantity are distributed by the whole quantity or, in other words, how many parts of a given quantity are expressed by the term fraction.
-Percentage is defined as how many parts out of hundred quantities, it can also be expressed as a special case of fraction where the denominator is fixed and equals to hundred. Also percentage is a dimensionless quantity.

Note:When converting the fractional number into decimal form and you are getting infinite numbers after decimal point then round the decimal number up to two or three decimal places with the help of rules for rounding off a number and then multiply it with hundred to get the percentage.