Question

Solve the equation c/7=6 1/7

Answer 1

c/7 = 6 1/7 ⇒ c = 43 ⇒ 43/7 = 6 1/7

Convert mixed fraction into a simple fraction

6 1/7 ⇒ (6 * 7 + 1)/7 = 43/7 

c/7 = 43/7

proportionality: 

a/b = c/d where    ad = bc

a = c 
b = 7 
c = 43
d = 7          

ad = bc ⇒ c7 = 7*43 ⇒ c7 = 301 ⇒ 7c/7 = 301/7 ⇒ c = 43

 

Answer 2

C/7= 6 1/7
⇒ c/7= 6+ 1/7
⇒ c/7= 42/7+ 1/7
⇒ c/7= 43/7
⇒ c= 43

Final answer: c=43~