Answer:
1/6 + 5.4 = 167/30 = 5 17/30
Explanation:
Conversion of a decimal number to a fraction: 5.4 = 54/
10
= 27/5
a) Write down the decimal 5.4 divided by 1: 5.4 = 5.4/
b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
5.4/1
= 54/10
Note: 54/10
is called a decimal fraction.
c) Simplify and reduce the fraction
54/10
= 27 * 2/5 * 2
= 27 * 2/5 * 2 = 27/5
Add: 1/6 + 5.4 = 1/6 + 27/5 = 1 · 5/
6 · 5 + 27 · 6/
5 · 6
= 5/30 + 162/30 = 5 + 162/30
= 167/30