Answer:
[tex]-\frac{7}{10}[/tex]
Step-by-step explanation:
Given:
[tex]\frac{1}{2}- 1 \frac{1}{5}[/tex]
Number line is from range -2 to 2 with all increment of ±[tex]\frac{2}{10}[/tex] on both sides.
Step 1: First we will solve the equation we will get;
[tex]\frac{1}{2}- 1 \frac{1}{5}\\\\\frac{1}{2}- \frac{6}{5}[/tex]
Step 2: Now we will try to make the denominator common so we will get;
[tex]\frac{1\times 5}{2\times 5}- \frac{6\times 2}{5\times 2}\\\\\frac{5}{10}- \frac{12}{10}[/tex]
Step 3: Now from the number line when we subtract [tex]\frac{12}{10}[/tex]
from [tex]\frac{5}{10}[/tex] we get number of spaces left are - 7
Hence now it will become:
[tex]\frac{5}{10}- \frac{12}{10}\\\\\frac{5 -12}{10}\\\\-\frac{7}{10}[/tex]
Hence the final Answer is [tex]-\frac{7}{10}[/tex]
