Question

Convert the given fraction ${\displaystyle \frac{22}{37}}$ into decimal.

Answer 1

Hint: For solving this question, we have to have some knowledge of division. There can be a lot of methods for converting fractions into decimal numbers.

Complete step-by-step answer:
Division is a process of distributing things or materials into equal parts. It is one of the four very basic operations of arithmetic operations. Division can also be considered as the inverse operation of the multiplication operation.
For solving this question, we can proceed by dividing $22$ by $37$ . The following is the quotient of the question by long division method, we get $0.594594...$ as the quotient.
Hence, the fraction ${\displaystyle \frac{22}{37}}$ is equivalent to $0.594594...$ in decimal system.

Note: There can be many different methods for solving this problem, the only thing we need to keep in mind is that we must be very careful in doing the calculation in finding out the required result of the problem, i.e. the quotient in this case. An alternate method is shown below.

Alternately method: We can do is make the denominator a power of $10$ by multiplying the numerator and the denominator by same number, so that the value of the fraction remains the same (if we multiply the denominator and the numerator by the same number, we are technically multiplying the fraction by $1$ , which is also known as the multiplicative identity). For finding the number with which we need to multiply the numerator and denominator, we have to look at the multiples of the denominator, in this case, $37$ . The smallest power of $10$ that also a multiple of $37$ , is not found. Therefore, we cannot proceed with this method.