To convert the decimal 5.4 into a fraction, we can first express it as:
5.4 = 5 + 0.4
Now, we know that 0.4 can be rewritten as a fraction. Since there is one digit after the decimal point, we can express 0.4 as:
0.4 = 4/10
Next, we simplify the fraction 4/10 by dividing both the numerator and denominator by their greatest common divisor, which is 2:
4 ÷ 2 = 2
10 ÷ 2 = 5
So, 0.4 as a simplified fraction is 2/5. Now we can combine it back with the whole number:
5.4 = 5 + 2/5
To express this as an improper fraction, we convert 5 into a fraction with a denominator of 5:
5 = 25/5
Now we can add:
25/5 + 2/5 = 27/5
Thus, 5.4 as a fraction is:
27/5