Simplify the following:
(3 + 1/3)/(2 + 2/5)
Put 2 + 2/5 over the common denominator 5. 2 + 2/5 = (5×2)/5 + 2/5:
(3 + 1/3)/((5×2)/5 + 2/5)
5×2 = 10:
(3 + 1/3)/(10/5 + 2/5)
10/5 + 2/5 = (10 + 2)/5:
(3 + 1/3)/((10 + 2)/5)
10 + 2 = 12:
(3 + 1/3)/(12/5)
Put 3 + 1/3 over the common denominator 3. 3 + 1/3 = (3×3)/3 + 1/3:
((3×3)/3 + 1/3)/(12/5)
3×3 = 9:
(9/3 + 1/3)/(12/5)
9/3 + 1/3 = (9 + 1)/3:
((9 + 1)/3)/(12/5)
9 + 1 = 10:
(10/3)/(12/5)
Multiply the numerator by the reciprocal of the denominator, (10/3)/(12/5) = 10/3×5/12:
(10×5)/(3×12)
The gcd of 10 and 12 is 2, so (10×5)/(3×12) = ((2×5) 5)/(3 (2×6)) = 2/2×(5×5)/(3×6) = (5×5)/(3×6):
(5×5)/(3×6)
3×6 = 18:
(5×5)/18
5×5 = 25:
Answer: 25/18
100 and 101
the two integers are n and n+1. this means that 2n+1=201. n=100 and n+1=101
Answer:
First mixed is the most orangey.
Step-by-step explanation:
First:
Second:
Third:
First mixed has highest percentage of orange juice. Hence first mixed is the most orangey.
Answer:
see the explanation below
Step-by-step explanation:
you can type 250 characters in 60 seconds your friend can type 375 characters in 90 seconds do these ratios form a proportion
Given data
you can type 250 characters in 60 seconds
your typing speed = 250/60
= 4.16 characters per seconds
your friend can type 375 characters in 90 seconds
your friends typing speed is
= 375/90
= 4.16 characters per seconds
Since both typing speeds corresponds, hence the ratios are proportional
