Question

Add. Reduce to lowest terms. 6 4/5 + 3 7/10 =

Answer 1

`6 (4)/(5)+3 (7)/(10) = (34)/(5) + (37)/(10) = (34 * 2)/(10)+ (37)/(10) = (2*34+37)/(10) = (105)/(10) = (21)/(2) = 10 (1)/(2)`

Answer 2

`10(1)/(2)`

Explanation:

We are asked to add the given mixed fractions.

`6(4)/(5)+3(7)/(10)`

First of all, let us convert mixed fractions into improper fractions as:

`6(4)/(5)\Rightarrow (6* 5+4)/(5)=(30+4)/(5)=(34)/(5)`

`3(7)/(10)\Rightarrow (3* 10+7)/(10)=(30+7)/(10)=(37)/(10)`

`6(4)/(5)+3(7)/(10)\Rightarrow (34)/(5)+(37)/(10)`

Make a common denominator:

`(34* 2)/(5* 2)+(37)/(10)`

`(68)/(10)+(37)/(10)`

Combine numerators:

`(68+37)/(10)`

`(105)/(10)`

`(5* 21)/(5* 2)`

`(21)/(2)`

`10(1)/(2)`

Therefore, the simplified form of our given addition problem would be
`10(1)/(2)` .