Answer:
c = 6/5
Explanation:
Solve for c:
c - 7/10 = 1/2
Hint: | Put the fractions in c - 7/10 over a common denominator.
Put each term in c - 7/10 over the common denominator 10: c - 7/10 = (10 c)/10 - 7/10:
(10 c)/10 - 7/10 = 1/2
Hint: | Combine (10 c)/10 - 7/10 into a single fraction.
(10 c)/10 - 7/10 = (10 c - 7)/10:
(10 c - 7)/10 = 1/2
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (10 c - 7)/10 = 1/2 by 10:
(10 (10 c - 7))/10 = 5
Hint: | Cancel common terms in the numerator and denominator of (10 (10 c - 7))/10.
(10 (10 c - 7))/10 = 10/10×(10 c - 7) = 10 c - 7:
10 c - 7 = 5
Hint: | Divide 10 by 2.
10/2 = (2×5)/2 = 5:
10 c - 7 = 5
Hint: | Isolate terms with c to the left hand side.
Add 7 to both sides:
10 c + (7 - 7) = 7 + 5
Hint: | Look for the difference of two identical terms.
7 - 7 = 0:
10 c = 5 + 7
Hint: | Evaluate 5 + 7.
5 + 7 = 12:
10 c = 12
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 10 c = 12 by 10:
(10 c)/10 = 12/10
Hint: | Any nonzero number divided by itself is one.
10/10 = 1:
c = 12/10
Hint: | Reduce 12/10 to lowest terms. Start by finding the GCD of 12 and 10.
The gcd of 12 and 10 is 2, so 12/10 = (2×6)/(2×5) = 2/2×6/5 = 6/5:
Answer: c = 6/5