The equation is .

The improper fraction of .

The improper fraction of .

Apply addition property of equality: If a = b then a + b = b + c.

    (Add to each side)

                      (Apply additive inverse property: )

To add fractions the denominators must be equal.

Find the least common denominator (LCD).

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30,..........

Multiples of 8: 8, 16, 24, 32, 40, 48, 56,...............

The least common multiple of 3 and 8 is 24.

Rewrite each fraction with a common denominator of 24.

Rewrite fractions using the LCD 8.

                      (LCM is 24)

                              (Add: 201 + 56 = 257)

Check:

To check the solution, substitute in original equation.

                (Rewrite: ) \ \

                  (LCM is 24)

                          (Subtract: )

                            (Divide: )

The statement is true.

To graph the solution on the number line:

\
• First draw the number line
\
• Mark a dot at on the number line
\

The value of .