The fraction number 1/3 is equivalent to 2/6, 9/27, and 3/9. Thus, the correct option is D.
Given that:
Fraction number, n = 1/3
One of every three equally sized portions is represented by the fraction 1/3. We need to choose a fraction that reflects the same proportion in order to establish which fraction is equal to 1/3.
A. 2/6 and 1/3 are comparable because both fractions may be made simpler by dividing the numerator and denominator by their greatest common factor, in this case, 2, which is the case for both fractions.
B. 9/27 and 1/3 are also comparable since both fractions may be made simpler by dividing both the numerator and denominator by their greatest common factor, in this case, 9, which is true for both fractions.
C. Because it represents the same percentage, 3/9 is comparable to 1/3.
Thus, the correct option is D.
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The complete question is given below.
Which fraction is equivalent to 1/3?
A. 2/6
B. 9/27
C. 3/9
D. All of the above
1/3=2/6 = 3/9=4/12 and so on...
Basically you just multiply the denominator and the numerator by the same number.
EDIT-- for those in the future i just took the test and the answer was 118 degrees
m∠A = 118 degrees (Angle ∠A is 118 degrees when you substitute x = 35 into the expression (3x + 13)).
In this problem, we are given three angles of a triangle: ∠A, ∠B, and ∠C, expressed in terms of the variable x. We need to find the measure of angle ∠A.
1. Start with the given information:
- ∠A = (3x + 13) degrees
- ∠B = (x - 8) degrees
- ∠C = x degrees
2. We know that the sum of the angles in any triangle is always 180 degrees. So, we can write an equation based on this fact:
∠A + ∠B + ∠C = 180
3. Substitute the expressions for each angle:
(3x + 13) + (x - 8) + x = 180
4. Now, simplify and solve for x:
3x + 13 + x - 8 + x = 180
Combine like terms:
5x + 5 = 180
Subtract 5 from both sides to isolate 5x:
5x = 180 - 5
5x = 175
Divide by 5 to find the value of x:
x = 35
5. Now that we've found the value of x, we can find the measure of ∠A by substituting x back into the expression for ∠A:
∠A = (3x + 13)
∠A = (3 * 35 + 13)
∠A = 105 + 13
∠A = 118 degrees
So, the measure of angle ∠A is 118 degrees.
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