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What’s 1 2/6 + 3 4/8. Help

What’s 1 2/6 + 3 4/8. Help-example-1
User Ukrutt
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1 Answer

7 votes

Answer:


4 (5)/(6)

Explanation:

We can write
1 (2)/(6) as
(8)/(6) and we can write
3 (4)/(8) as
(28)/(8). So the question becomes
(8)/(6) + (28)/(8). We can simplify both fractions so that the expression is
(4)/(3) + (7)/(2) and to add the two fractions we need to find a common denominator. The least common multiple of 2 and 3 is 6, so we want the denominator to be 6 in both fractions. To do this, we multiply
(4)/(3) by
(2)/(2) and we multiply
(7)/(2) by
(3)/(3).

So finally we get
(4)/(3) * (2)/(2) + (7)/(2) * (3)/(3), which is
(8)/(6) + (21)/(6), which is
(29)/(6).

And now all we have to do is rewrite the improper fraction
(29)/(6). Notice 6 goes into 29 exactly 4 times, with a remainder of 5. So the expression simplifies to
4 (5)/(6)