The models represent 3/4 and 9/12. Select the four true statements about what the models show.
3/4 is equivalent to 9/12.
The 3/4 model has larger parts, so 3/4 is greater than 9/12.
The models have the same amount shaded. This means 3/4 is equivalent to 9/12.
The 3/4 model has fewer parts than the 9/12 model.
The 9/12 model has smaller parts than the 3/4 model.
3 is equivalent to 9.
The true statements about the models representing 3/4 and 9/12 are:
1. 3/4 is equivalent to 9/12.
This is true because when you simplify 9/12 (by dividing the numerator and denominator by 3), you get 3/4.
2. The models have the same amount shaded. This means 3/4 is equivalent to 9/12.
This is also true because they visually represent the same portion of a whole, confirming their equivalence.
3. The 3/4 model has fewer parts than the 9/12 model.
This is true since 3/4 is divided into 4 equal parts, while 9/12 is divided into 12 parts.
4. The 9/12 model has smaller parts than the 3/4 model.
This is true because each part in the 9/12 model is smaller than each part in the 3/4 model, given that 9/12 has 12 total parts compared to the 4 total parts in 3/4.
The statement “The 3/4 model has larger parts, so 3/4 is greater than 9/12” and “3 is equivalent to 9” are false.
Let me know if you need further clarification!