Question

What is \[4.45\] as a fraction?

Answer 1

Hint: These type of problems are quite easy to understand and are simple to solve once we go through the main and underlying concepts behind the problem. To solve this problem effectively, we need to have some basic as well as to some extent advanced knowledge of chapters like fractions, rational and irrational. In this particular problem, we need to represent a decimal number to a fraction. In cases like these, what we do is write the given number without the decimal on the numerator and then consider the decimal as one and all the digits after the point are taken as zero and then this is written on the denominator of the fraction.

Complete step-by-step answer:
Now we start off with the solution to the given problem by writing that, we write \[445\] on the numerator of a fraction. We then consider the decimal point as one. The number of digits after the decimal point are two. So on the denominator we write \[100\] . From this we write the formed fraction as,
\[\dfrac{445}{100}\] . Now we cancel the numerator and the denominator of the formed fraction by \[5\] to get the result as \[\dfrac{89}{20}\] . So the answer to our problem is, the fractional representation is therefore \[\dfrac{89}{20}\] .

Note: For these kinds of problems, we need to have a clear cut idea of chapters like fractions, rational and irrational. To solve it effectively, we first of all need to write the given number without a point on the numerator and then divide that by \[100\] . After this if possible we reduce the resultant fraction to its simplest form. We must be very careful in noticing the number of digits after the decimal point because according to that we have to decide the number of zeroes that we will be dividing in the denominator of the fraction.