Questions: Which model shows 7/12 × 4? Use the model to find 7/12 × 4. Mixed number Whole number

Solution Steps

The first question asks which model represents (7/12) * 4. We need a model showing four groups where 7 out of 12 parts are shaded in each group.

The first model shown has four groups of 12. Three boxes are shaded in the first group and four boxes are shaded in each of the remaining three groups.

The second model shows two groups of twelve. Seven boxes are shaded in each group.

The second model correctly shows (7/12) * 4 since it visually represents four groups of seven-twelfths.

To find (7/12) * 4, multiply the numerator by the whole number: 7 * 4 = 28. Keep the denominator the same. Thus, the answer is 28/12.

We can simplify 28/12. Both numbers are divisible by 4. Dividing both the numerator and denominator by 4 gives us 7/3.

7/3 can be converted to a mixed number. Three goes into seven two times with a remainder of one. So, 7/3 equals 2 and 1/3.

Final Answer