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Q23: On the number line above

October 15, 2026

2018 Test B Math · Question 23 of 57

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$\textup{On the number line above,}\;MN=5\frac{5}{6}.\textup{What is the position of point} M ?$

A $-7\frac{1}{6}$
B $-4\frac{1}{2}$
C $4\frac{1}{2}$
D $7\frac{1}{6}$

Show the answer

Correct answer: B

To find $M$ , subtract $N-M$ and set it equal to the length:

$1frac{1}{3}-M=5frac{5}{6}$

$frac{4}{3}-M=frac{35}{6}$

$6(frac{4}{3}-M=frac{35}{6})6$

$8-6M=35$

$6M=8-35$

$6M=-27$

$M=-frac{27}{6}=-4frac{3}{6}$

$M=-4frac{1}{2}$

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