To match the equivalent fractions given in the models, we can analyze the fractions represented:
- Three-fourths (3/4): This is represented by 4 equal parts with 3 of them colored green.
- One-third (1/3): This is represented by 3 equal parts with 1 of them colored green.
- Four-sixths (4/6): This is represented by 6 equal parts with 4 of them colored green.
Now, let's identify the equivalent fractions:
- Three-fourths (3/4) and Four-sixths (4/6) are equivalent fractions. This is because if you simplify 4/6 by dividing both the numerator and the denominator by 2, you get 2/3.
- One-third (1/3) does not have any equivalent fractions among the options given.
Now, placing them in the correct boxes:
- Three-fourths (3/4) ↔ Four-sixths (4/6)
- One-third (1/3) ↔ No equivalent.
Here is how you should place them:
- In the box for Three-fourths (3/4), place 34 (3/4).
- In the box for Four-sixths (4/6), place 46 (4/6).
- One-third (1/3) does not have an equivalent fraction from the listed options.
So the answer will be:
- Place 34 in the box for Three-fourths (3/4).
- Place 46 in the box for Four-sixths (4/6).
- Leave the box for One-third (1/3) empty as it has no equivalent shown here.