x
2
+
x
6
Step 1: Find the Least Common Denominator (LCD)
To add fractions, we need a common denominator.
Denominators: 2 and 6
Multiples of 2: 2, 4, 6, 8, 10...
Multiples of 6: 6, 12, 18...
LCD = 6
Step 2: Convert fractions to equivalent fractions with LCD
Rewrite each fraction with denominator 6.
x
2
=
x × 3
2 × 3
=
3x
6
x
6
(already has denominator 6)
Step 3: Add the numerators
Keep the common denominator and add the numerators.
3x
6
+
x
6
=
3x + x
6
=
4x
6
Step 4: Simplify the fraction
Find the greatest common factor (GCF) and reduce.
GCF of 4 and 6:
Factors of 4: 1, 2, 4
Factors of 6: 1, 2, 3, 6
GCF = 2
4x
6
=
4x ÷ 2
6 ÷ 2
=
2x
3