We want to add the following 2 fractions:
Denominator 1 ≠ Denominator 2.We need matching denominators
Multiply fraction 1 numerator * fraction 2 denominator.
Multiply fraction 2 numerator by the fraction 1 denominator
We add those 2 results, and get our numerator.
Our denominator is the product of the denominators of both fractions.
| Fraction 1 + Fraction 2 = | Numerator 1 x Denominator 2 + Numerator 2 x Denominator 1 |
| | Denominator 1 x Denominator 2 |
| Fraction 1 + Fraction 2 = | 1 x 8 + 5 x 2 |
| | 2 x 8 |
| Fraction 1 + Fraction 2 = | 8 + 10 |
| | 16 |
| Fraction 1 + Fraction 2 = | 18 |
| | 16 |
Reduce our fraction
GCF(18 and 16) = 2
Reduce the numerator by GCF
(1/2) x 18 = 9
Reduce the denominator by GCF
(1/2) x 16 = 8
Build our reduced answer
Answer = 9/8
Final Answer
9/8
