Question

What is 3 7/8 + 2 5/6 =​

Answer 1

`$(161)/(24)=6(17)/(24)$`

Explanation:

`$3(7)/(8)+2(5)/(6)$`

Convert the mixed fractions to improper fractions:

`$(31)/(8)+(17)/(6)$`

Find the common denominator and write equivalent fractions:

`$((31)/(8)*{(3)/(3)})+((17)/(6)*{(4)/(4)})$`

`$(93)/(24)+(68)/(24)$`

Add:

`$(93)/(24)+(68)/(24)=(161)/(24)$`

Reduce to mixed fraction:

`$(161)/(24)=6(17)/(24)$`

Answer 2

Answer: 6 and 17/24

Step-by-step explanation: To add mixed numbers, first add the fractions. Since 7/8 and 5/6 are unlike fractions, we need a common denominator which in this case is 24.

If we multiply 7/8 by 3 in both the numerator and denominator, we get the equivalent fraction 21/24.

If we multiply 5/6 by 4 in both the numerator and denominator, we get the equivalent fraction 20/24.

Now we can add 21/24 + 20/24 to get 41/24. Finally, we add the whole numbers which is 3 + 7 to get 10.

Since 41/24 is an improper fraction, we can change it into the mixed number which is 6 and 17/24.