Question

4/15x + 5/6x + 1/2 = 1 3/5

Answer 1

Answer:

x = 1

Step-by-step explanation:

Given

$\frac{4}{15}$ x + $\frac{5}{6}$ x + $\frac{1}{2}$ = 1 $\frac{3}{5}$ ← convert to an improper fraction

$\frac{4}{15}$ x + $\frac{5}{6}$ x + $\frac{1}{2}$ = $\frac{8}{5}$

Multiply through by 30 ( the LCM of 15, 6, 2, 5 ) to clear the fractions

8x + 25x + 15 = 48

33x + 15 = 48 ( subtract 15 from both sides )

33x = 33 ( divide both sides by 33 )

x = 1