Final answer:
To find the value of X in the equation X + 2/5 = 1, subtract 2/5 from both sides, resulting in X = 3/5 (option d). Fractions and proportions can be understood more deeply by relating them to everyday concepts like parts of a pie or money values.
Step-by-step explanation:
The student's question is: X + 2/5 = 1, which can be solved to find the value of X. To isolate X, subtract 2/5 from both sides of the equation:
- X + 2/5 - 2/5 = 1 - 2/5
- X = 1 - 2/5
- X = 5/5 - 2/5
- X = (5 - 2)/5
- X = 3/5
The correct answer is (d) 3/5.
When understanding fractions, it can be useful to consider it in terms of everyday concepts such as parts of a pie or quarters in a dollar. For example, if one understands that two-thirds of a pie is more than half of the pie, then working with fractions in equations can become more intuitive. In the context of proportions and scale, like in the example 1:2=4:x, understanding that the actual dimension represented by X is simply double the scale dimension, here resulting in X = 8. This basic understanding of fractions and proportions can be applied to more complex mathematical problems.