Question

level 157
which statements are true? select all that apply.
a 5/6

b 1 3/6

c 7/6

select multiple answers
a c > b
b b > c
c c > a
d a < b

Explanation:

Step1: Convert mixed number to improper fraction

For B: \(1\frac{3}{6}=\frac{1\times6 + 3}{6}=\frac{9}{6}\)
For C: \(\frac{7}{6}\) (already improper), A: \(\frac{5}{6}\)

Step2: Compare fractions

• Compare B (\(\frac{9}{6}\)) and C (\(\frac{7}{6}\)): Since \(9>7\), \(\frac{9}{6}>\frac{7}{6}\) so \(B > C\) (option B is true, A is false).
• Compare C (\(\frac{7}{6}\)) and A (\(\frac{5}{6}\)): Since \(7>5\), \(\frac{7}{6}>\frac{5}{6}\) so \(C > A\) (option C is true).
• Compare A (\(\frac{5}{6}\)) and B (\(\frac{9}{6}\)): Since \(5<9\), \(\frac{5}{6}<\frac{9}{6}\) so \(A < B\) (option D is true).

Answer:

B. \(B > C\), C. \(C > A\), D. \(A < B\)