Which phrase should be inserted on the line to make a true statement? Use the models to help.

Question

Two-thirds blank line StartFraction 8 Over 12 EndFraction

Two-thirds

A model has 2 shaded parts and 1 unshaded part.
StartFraction 8 Over 12 EndFraction
A model has 8 shaded parts and 4 unshaded parts.
is greater than
is less than
cannot be compared to
is equal to

Answer 1

To determine the correct phrase to insert in the statement "Two-thirds ___ StartFraction 8 Over 12 EndFraction", we need to evaluate the fraction \( \frac{8}{12} \) and compare it with two-thirds \( \frac{2}{3} \).

First, let's simplify \( \frac{8}{12} \): \[ \frac{8}{12} = \frac{2}{3} \] Therefore, both fractions are equivalent, meaning that:

\[ \frac{2}{3} = \frac{8}{12} \]

So the appropriate phrase to insert is "is equal to".

Thus, the complete statement is:

Two-thirds is equal to \( \frac{8}{12} \).