Question

the product of a fraction with the sum of 5×1/3 and 6×1/3 is 3. what is the fraction?

Answer 1

first calculate the sum
(5* 1/3) + (6* 1/3)
= 5/3 + 2
= 5+6/3
= 11/3
now product
11/3 ×x =3
x=3× 3/11
x=9/11

Answer 2

Answer:

9/35

Step-by-step explanation:

$x \times (5 \frac{1}{3} + 6 \frac{1}{3} ) = 3 \\ x \times ( \frac{16}{3} + \frac{19}{3} ) = 3 \\ x \times ( \frac{16 + 19}{3} ) = 3 \\ x \times \frac{35}{3} = 3 \\ \frac{35x}{3} = 3 \\ 35x = 3 \times 3 \\ 35x = 9 \\ \boxed{ x = \underline{ \underline{ \frac{9}{35} }}}$