Question

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

Answer 1

Answer:

$\dfrac{59}{15}=3 \frac{14}{15}$

Step-by-step explanation:

Convert the mixed number into an improper fraction:

$3 \frac35=\dfrac{3\times5+3}{5}=\dfrac{18}{5}$

Now convert fractions so that their denominators are the same:

$\implies \dfrac{18}{5}+\dfrac13=\dfrac{18\times3}{5\times3}+\dfrac{1 \times5}{3 \times 5}=\dfrac{54}{15}+\dfrac{5}{15}$

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

$\implies \dfrac{54}{15}+\dfrac{5}{15}= \dfrac{54+5}{15}=\dfrac{59}{15}$

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

$\implies \dfrac{59}{15}=3 \frac{14}{15}$

Answer 2

Answer:

3 14/15

Step-by-step 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