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1 vote
(1/2+1/3)x8/9 what’s the answer?

2 Answers

2 votes

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.

User Gseattle
by
7.7k points
4 votes
20
—- As a fraction
27
User Geroge
by
7.7k points