2 3/5 = 6c
???
divide both sides by six.
13/5=6c
13/30=c
13/5 = 6 c
now divide both sides by 6
To solve the equation, we need to isolate the variable "c". Let's start by converting the mixed number on the left side of the equation into an improper fraction.
To convert 2 3/5 into an improper fraction, we multiply the whole number (2) by the denominator of the fraction (5), and then add the numerator (3). This gives us (2 * 5) + 3 = 10 + 3 = 13. So, 2 3/5 as an improper fraction is 13/5.
Now, we can rewrite the equation as: 13/5 = 6c
To isolate "c", we'll divide both sides of the equation by 6:
(13/5) / 6 = (6c) / 6
On the left side, dividing by 6 is the same as multiplying by the reciprocal of 6, which is 1/6. So, we have:
(13/5) * (1/6) = (6c) / 6
To multiply fractions, we multiply the numerators together and the denominators together. Therefore:
13/30 = (6c) / 6
Since we have (6c) / 6 on the right side, the 6's cancel out:
13/30 = c
Therefore, the value of c is 13/30.