Question

How do you change the fraction $\dfrac{8}{{50}}$ to a decimal?

Answer 1

Hint: A fraction is converted into decimal form by expressing the denominator of the fraction as a power of 10 or we can convert a fraction into decimal form by simply dividing the term in the numerator by the term in the denominator if the denominator cannot be converted into 100. Like the fraction $\dfrac{1}{{100}}$ in decimal form is 0.01. In the given question, we are given a fraction and we have to express it in the decimal form so we follow the above-mentioned procedure to get the correct answer

Complete step-by-step solution:
We are given a fraction $\dfrac{8}{{50}}$
Now, when 50 is multiplied by 2, we get 100, so we multiply both the numerator and the denominator of the fraction by 2 –
$\dfrac{8}{{50}} \times \dfrac{2}{2} = \dfrac{{16}}{{100}} = 0.16$
Hence, the decimal form of $\dfrac{8}{{50}}$ is $0.16$ .

Note: The upper part of a fraction is called the numerator and the part below the horizontal line is called the denominator. When the numerator of a fraction is not completely divisible by the denominator of the fraction, that is, when the numerator cannot be expressed as a multiple of the denominator, the answer on dividing the numerator by the denominator is in the decimal. When the value of the numerator is greater than that of the denominator, the term on the left side of the decimal is greater than zero and if the value of the denominator is greater than that of the numerator, the digit on the left side of the decimal is zero. There can be infinite decimals that are equivalent to the given decimal.