Question 24030: Express each ratio as a fraction in simplist form:
155:220
11 teachers to 275 students
64inches to 1 1/2 feet
45mins to 8hrs
14oz to 5pds
.65cents to $4.50
18 weeks to one year
Answer by PeterC(8)   (Show Source):
You can put this solution on YOUR website! Is this your entire list of homework problems for today? I will do one of them, which, I hope, will enable you to do the others.
Let me mention two tricks that will help you with these. First, a ratio a:b is equivalent to the fraction a/b. The other thing to remember is that both quantities must be in the same unit. For example, you convert hours to minutes by multiplying the hours by 60 minutes/hour. So:
To check whether you have converted correctly, make sure that your final answer is in the units you expect. In this case, we expect the final answer to be a ratio without any units. In the denominator we multiply hr by min/hr to get min, and when we divide min (in the numerator) by min (in the denominator) we are left with a unitless value.
Oh, I almost forgot: To reduce these fractions to their simplest form, you can factor each number into all its primes, and eliminate corresponding factors from the numerator and denominator:
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