Answer: 0.7407407
Explanation:
Add: 1/
2
+ 1/
3
= 1 · 3/
2 · 3
+ 1 · 2/
3 · 2
= 3/
6
+ 2/
6
= 3 + 2/
6
= 5/
6
It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - is LCM(2, 3) = 6. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 3 = 6. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - one-half plus one-third is five-sixths.
Multiple: the result of step No. 1 * 8/
9
= 5/
6
* 8/
9
= 5 · 8/
6 · 9
= 40/
54
= 20 · 2/
27 · 2
= 20/
27
Multiply both numerators and denominators. The result in fraction keeps to the lowest possible denominator GCD(40, 54) = 2. In the following intermediate step, cancel by a common factor of 2 gives 20/
27
.
In other words - five-sixths multiplied by eight-ninths is twenty-twenty-sevenths.