what is c in c - 2 ½ = 5 ⅗

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

To find the value of c in the equation "c - 2 ½ = 5 ⅗", we need to perform the following steps:

Step 1: Convert the mixed numbers to improper fractions.
2 ½ is equal to 5/2.
5 ⅗ is equal to 29/5.

Step 2: Rewrite the equation with the improper fractions.
c - 5/2 = 29/5.

Step 3: Clear the fraction by finding a common denominator.
The common denominator of 2 and 5 is 10.

Step 4: Rewrite the equation with the common denominator.
10c/10 - 25/10 = 58/10.

Step 5: Combine like terms and solve for c.
(10c - 25)/10 = 58/10.
10c - 25 = 58.
10c = 83.
c = 83/10.

Therefore, c in the equation "c - 2 ½ = 5 ⅗" is equal to 83/10 or 8.3.