Simplify the following:
(1+4/7)/(1+1/4)
Put 1+1/4 over the common denominator 4. 1+1/4 = 4/4+1/4:
(1+4/7)/(4/4+1/4)
4/4+1/4 = (4+1)/4:
(1+4/7)/((4+1)/4)
4+1 = 5:
(1+4/7)/(5/4)
Put 1+4/7 over the common denominator 7. 1+4/7 = 7/7+4/7:
(7/7+4/7)/(5/4)
7/7+4/7 = (7+4)/7:
((7+4)/7)/(5/4)
7+4 = 11:
(11/7)/(5/4)
Multiply the numerator by the reciprocal of the denominator, (11/7)/(5/4) = 11/7×4/5:
(11×4)/(7×5)
7×5 = 35:
(11×4)/35
11×4 = 44:
Answer: | 44/35
