Answer:
a=0.17, b=2/9, c=1/4
Step-by-step explanation:
Effectively, you're being asked to put the numbers 0.17, 1/4, and 2/9 in order, least to greatest.
One relatively easy way to do this is to write the fractions as decimal values. Your calculator can help, if you don't have these memorized.
1/4 = 0.25
2/9 = 0.22...(repeating)
So, least-to-greatest, the numbers are ...
0.17, 2/9, 1/4
Then a=0.17, b=2/9, c=1/4.
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As a check, you can compare b and c to 1/5, whose decimal equivalent is 0.20. Our solution says 0.17 < 1/5 < 2/9 < 1/4, which we now know to be true based on the decimal equivalents rounded to hundredths:
0.17 < 0.20 < 0.22 < 0.25
