Answer:
413/8 or 51.625 decimal
Step-by-step explanation:
Simplify the following:
(9 + 5/6) (5 + 1/4)
Put 5 + 1/4 over the common denominator 4. 5 + 1/4 = (4×5)/4 + 1/4:
(9 + 5/6) (4×5)/4 + 1/4
4×5 = 20:
(9 + 5/6) (20/4 + 1/4)
20/4 + 1/4 = (20 + 1)/4:
(9 + 5/6) (20 + 1)/4
20 + 1 = 21:
(9 + 5/6)×21/4
Put 9 + 5/6 over the common denominator 6. 9 + 5/6 = (6×9)/6 + 5/6:
21/4 (6×9)/6 + 5/6
6×9 = 54:
((54/6 + 5/6)×21)/4
54/6 + 5/6 = (54 + 5)/6:
21/4 (54 + 5)/6
54 + 5 = 59:
59/6×21/4
59/6×21/4 = (59×21)/(6×4):
(59×21)/(6×4)
The gcd of 21 and 6 is 3, so (59×21)/(6×4) = (59 (3×7))/((3×2) 4) = 3/3×(59×7)/(2×4) = (59×7)/(2×4):
(59×7)/(2×4)
2×4 = 8:
(59×7)/8
59×7 = 413:
Answer: 413/8
