Question

How do you write ${\displaystyle \frac{9}{5}}$ as decimal?

Answer 1

Hint: We have been given in the question ${\displaystyle \frac{9}{5}}$ as a fraction. We have to convert the fractional form into decimal form. The upper term in the fraction is known as numerator and the lower term is known as denominator. When the dividend becomes smaller than divisor then we make it bigger by multiplying it with 10 and adding the point in the quotient.

Complete Step by Step Solution:
Decimal numbers can be defined as the numbers in the two parts are separated by the decimal point. The first part is the whole number part and second part is the fractional part.
From the question, we know that the fraction is ${\displaystyle \frac{9}{5}}$. As it is given in the fractional form, we have to convert it into decimal form. To do this, we have to directly divide 9 by 5, we know that the upper term in the fraction is known as numerator and the lower term is known as denominator. The numerator is the number which is to be divided by the number which is the denominator.
Therefore, now dividing 9 by 5. So, if we divide 9 by 5, we get 1 in the quotient and 4 in the remainder. Then, we can conclude that 4 is smaller than 5 so we will multiply 4 with 10 and add dot or decimal point after 1 in the quotient.

Therefore, now dividing 40 by 5, we get 8 as quotient after 1 and decimal point. Then, the overall quotient we get is 1.8 so, we got our required decimal form of the fraction, which is, $1.8$.

Note:
If we have 10, 100, 1000 etc. present in the denominator then, we can directly convert that fraction into decimal by moving decimal left places depending on the number of zeroes in the denominator.