Question

4/5*c-7/15*c+1/3*c=3/5

Answer 1

$\frac{4}{5} c - \frac{7}{15} c = \frac{12}{15} c - \frac{7}{15} c = \frac{5}{15} c = \frac{1}{3} c$
$\frac{1}{3} c + \frac{1}{3} c = \frac{2}{3} c$
$\frac{2}{3} c = \frac{3}{5} \\ c = \frac{3}{5} \div \frac{2}{3} = \frac{3}{5 } \times \frac{3}{2}$
$c = \frac{9}{10} = 0.9$

Answer 2

To solve the equation for the variable "c," we need to combine like terms and then isolate "c" on one side of the equation. Here's the step-by-step solution:

1. Combine the like terms on the left side of the equation: (4/5)c - (7/15)c + (1/3)c = 3/5

2. Find a common denominator for the fractions. The least common multiple (LCM) of 5, 15, and 3 is 15.

3. Rewrite each fraction with the common denominator of 15: (12/15)c - (7/15)c + (5/15)c = 3/5

4. Combine the fractions with the same denominator: (12/15 - 7/15 + 5/15)c = 3/5

5. Simplify the fractions: (10/15)c = 3/5

6. Reduce the fraction on the left side: (2/3)c = 3/5

7. To solve for "c," isolate the variable. We can do this by multiplying both sides of the equation by the reciprocal of (2/3), which is (3/2):

   (3/2) * (2/3)c = (3/2) * (3/5)

   c = (9/10)

So, the solution to the equation is: c = 9/10 or 0.9