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Which equivalent fraction would let you mark both $\frac{1}{2}$ and $\frac{1}{3}$ on the SAME number line using a common number of equal parts?

Class 8Representing on the Number LineRational Numbers

Asixths $(\frac{1}{6}$ units)
Bfourths $(\frac{1}{4}$ units)
Cfifths $(\frac{1}{5}$ units)
Dninths $(\frac{1}{9}$ units)

Step-by-Step Solution

LCM of 2 and 3 is 6, so dividing each unit into 6 parts gives

\frac{1}{2} = \frac{3}{6}

and

\frac{1}{3} = \frac{2}{6}

.

Answer: A) sixths

(\frac{1}{6}

units)

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