Question

How do you write 1.5 as a fraction?

Answer 1

Hint:
In the given question, we have been asked how to write a decimal number as a fraction. For solving this, we first count the number of digits after the decimal; let it be \[c\]. Then we just remove the decimal point and treat it as a numerator and then take the denominator as \[{10^c}\], i.e., \[10\] followed by \[c\] zeroes. Then we just reduce the fraction to the lowest term.

Complete Step by Step Solution:
The given decimal number is \[1.5\].
Now, the number of digits after decimal, \[c = 1\].
So, numerator \[ = 15\] and denominator \[ = {10^1} = 10\].
Hence, \[1.5 = \dfrac{{15}}{{10}} = \dfrac{3}{2}\]

Thus, the required fraction is \[\dfrac{3}{2}\].

Note:
In this question, we had to convert a given decimal to fraction. In such questions, we first always find the denominator, which is always a power of the number ten, i.e., one followed by any number of digits. Getting the numerator is no work – we just have to remove the decimal point. Then it is just the reduction of the parts of the fraction.