The models represent 4/10 and 2/5. Select the three true statements about what these models show.
1. 4/10 is equivalent to 2/5
2. The 2/5 model has larger parts, so 2/5 is greater than 4/10
3. The 2/5 model has fewer parts than the 4/10 model
4. The 4/10 model has smaller parts than the 2/5 model
5. The models have different numbers of shaded parts. This means 4/10 and 2/5 are not equal.
6. Fractions with different denominators are never equal.
The three true statements about the models representing 4/10 and 2/5 are:
1. 4/10 is equivalent to 2/5 – This is true because both fractions simplify to the same value when we reduce 4/10 to 2/5 by dividing the numerator and denominator by 2.
3. The 2/5 model has fewer parts than the 4/10 model – This is true because the denominator of 5 means that the whole is divided into 5 equal parts, while 10 means it’s divided into 10 parts, thus fewer parts in the 2/5 model.
4. The 4/10 model has smaller parts than the 2/5 model – True because with 10 as the denominator, each part is smaller compared to the parts that are made by dividing into 5 equal pieces.
Therefore, statements 1, 3, and 4 are correct. Understanding the relationships between numerators and denominators helps you see how fractions can be equivalent even if they appear different at first glance. Great job exploring these concepts! If you need more in-depth assistance, feel free to check the extended services page.