Question

Hey guys can any of you guys math geniuses help me out on this math question? 3 3/5 + 1/3=?

Answer 1

3 14/15

Explanation:

Separate the numbers between their round numbers and fractions: 3 and 3/5, 0 and 1/3.

The round number parts: 3 + 0 = 3

The fraction parts:

3/5 + 1/3

= 3*3/5*3 + 5/5*3

= 9/15 + 5/15

= (9 + 5)/15

= 14/15

Combining the two parts: 3 3/5 + 1/3

= 3 14/15

Answer 2

`(59)/(15)=3 (14)/(15)`

Explanation:

Convert the mixed number into an improper fraction:

`3 \frac35=(3*5+3)/(5)=(18)/(5)`

Now convert fractions so that their denominators are the same:

`\implies (18)/(5)+\frac13=(18*3)/(5*3)+(1 *5)/(3 * 5)=(54)/(15)+(5)/(15)`

As the denominators are now the same, we can simply add the numerators:

`\implies (54)/(15)+(5)/(15)= (54+5)/(15)=(59)/(15)`

Now convert back into a mixed number (if required):

`\implies (59)/(15)=3 (14)/(15)`