Simplify the following:
(23 + 3/4)/(1 + 3/5)
Put 1 + 3/5 over the common denominator 5. 1 + 3/5 = 5/5 + 3/5:
(23 + 3/4)/(5/5 + 3/5)
5/5 + 3/5 = (5 + 3)/5:
(23 + 3/4)/((5 + 3)/5)
5 + 3 = 8:
(23 + 3/4)/(8/5)
Put 23 + 3/4 over the common denominator 4. 23 + 3/4 = (4×23)/4 + 3/4:
((4×23)/4 + 3/4)/(8/5)
4×23 = 92:
(92/4 + 3/4)/(8/5)
92/4 + 3/4 = (92 + 3)/4:
((92 + 3)/4)/(8/5)
92 + 3 = 95:
(95/4)/(8/5)
Multiply the numerator by the reciprocal of the denominator, (95/4)/(8/5) = 95/4×5/8:
(95×5)/(4×8)
4×8 = 32:
(95×5)/32
95×5 = 475:
Answer: |475/32 = 14 27/32
