Question

what should be added to 2,4/5 to get 5,2/3​

Answer 1

Answer:

we have

$2 \frac{4}{5}$

and need to add something to get

$5 \frac{2}{3}$

First convert into improper fraction:

$\frac{5 \times 2 + 4}{5}$

=

$\frac{14}{5}$

and

$\frac{3 \times 5 + 2}{3}$

=

$\frac{17}{3}$

now use simple algebra

14/5 + X = 17/3

X = 17/3 - 14/5

X = 17×5 / 3×5 - 14×3 / 5×3

X = 85 / 15 - 42/15

X = 43 / 15

converting to mixed fraction

15 × 2 + 13 = 43

So final answer is

$2 \frac{13}{15}$