Answer:
305/16
Explanation:
Simplify the following:
(5 (30 + 1/2))/8
Hint: | Express (5 (30 + 1/2))/8 as a single fraction.
(5 (30 + 1/2))/8 = (5 (30 + 1/2))/8:
(5 (30 + 1/2))/8
Hint: | Put the fractions in 30 + 1/2 over a common denominator.
Put 30 + 1/2 over the common denominator 2. 30 + 1/2 = (2×30)/2 + 1/2:
(5 (2×30)/2 + 1/2)/8
Hint: | Multiply 2 and 30 together.
2×30 = 60:
(5 (60/2 + 1/2))/8
Hint: | Add the fractions over a common denominator to a single fraction.
60/2 + 1/2 = (60 + 1)/2:
(5 (60 + 1)/2)/8
Hint: | Evaluate 60 + 1.
60 + 1 = 61:
(5×61/2)/8
Hint: | Express 5×61/2 as a single fraction.
5×61/2 = (5×61)/2:
((5×61)/2)/8
Hint: | Express ((5×61)/2)/8 as a single fraction.
((5×61)/2)/8 = (5×61)/(2×8):
(5×61)/(2×8)
Hint: | Multiply 2 and 8 together.
2×8 = 16:
(5×61)/16
Hint: | Multiply 5 and 61 together.
5×61 = 305:
Answer: 305/16