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If the intersection point is read as \( \left(2.5,1.5\right) \) on a graph, how will the solution be written in fractions?

Answer and explanation

Correct answer: \( \left(\frac{5}{2},\frac{3}{2}\right) \)

Direct answer: option A, (5/2,3/2). A decimal with one digit after the decimal point can be changed to a fraction with denominator 10. Thus 2.5=25/10; divide numerator and denominator by 5 to get 5/2. Similarly, 1.5=15/10; divide by 5 to get 3/2. Keep the coordinate order unchanged: the first coordinate remains 5/2 and the second remains 3/2. Option A is correct. Option B swaps the coordinates, so it represents (1.5,2.5), not the given point. Option C has 25/10=2.5 but 15/100=0.15, not 1.5. Option D gives 2/5=0.4 and 1/5=0.2, so both values are wrong. Memory cue: decimal tenths become /10, then simplify; never reverse x and y.

Related tags

Decimal CoordinatesFractionGraph Reading

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