Question

What is $\dfrac{7}{8}$ as a decimal?

Answer 1

Hint: First, we have to define the terms we need to solve the problems are decimals and fractions.
The numbers which are all fall between integers and non-integers are called decimals
The ratio of two numbers and different ways to represent division is called Fractions

Complete step-by-step solution:
Decimals and fractions are both the representation of rational numbers yet the two are very different from each other.
The fractions can be expressed as a division of two numbers. It has two parts: the numerator which is the upper number and the denominator which is the bottom number. A decimal number, on the other hand, has two parts which are separated by a decimal point, in simple words a “dot”, example; $59.23$
Since digits to the left of the given decimal point are referred to as the whole number whereas the digits to the right of the decimal point are the fractional part.
Thus, to convert a fraction into a decimal there is no need for decimal to fraction formula
Since $\dfrac{1}{8} = \dfrac{{\dfrac{{100}}{8}}}{{100}} \Rightarrow \dfrac{{12.5}}{{100}} = 0.125$ we're multiplied and divided by the number $100$
write the decimal into $\dfrac{1}{8} = 0.125$ and hence we have $\dfrac{7}{8} = 7 \times 0.125 \Rightarrow 0.875$
as make use of these values in above
Hence the $\dfrac{7}{8}$ can be expressed as the decimal form is $0.875$.

Note: We know that $\dfrac{7}{8} = 0.875$ in this case, the dividend is exactly divisible after a few steps;
While in the process we get the remainder is zero, such decimal numbers are known as terminating decimals.
Now, look at this $\dfrac{2}{3} = 0.6666......$in some fractions the division does not stop and obtain a certain block of digits which is repeated over and over again. Such kind of decimals numbers are called recurring decimals.