Final answer:
To calculate 1.5 divided by 2.5, convert the division to a fraction (1.5/2.5), simplify it to 3/5, and then perform the division to get 0.6, which is the answer rounded to the nearest tenth.
Step-by-step explanation:
Understanding Decimal Division
To find the result of 1.5 divided by 2.5, you can approach it by considering the division of these two numbers as a simple fractional problem. To maintain the precision of the division process, we work with the exact numbers without rounding until the final step where we round the result to the nearest tenth as requested.
Firstly, write the division problem as a fraction: 1.5 / 2.5. To make the division easier, you can eliminate the decimal points by multiplying both the numerator and the denominator by the same power of 10, in this case, 10 itself. This will give you 15 / 25, which is an equivalent expression of the original division problem.
Reducing the fraction 15/25 can be done by dividing both numerator and denominator by their greatest common divisor, which is 5 in this case. Doing so, we get 3/5. Now, to get the decimal result, perform the division: 3 ÷ 5 = 0.6. Finally, as no further rounding is needed because the result is already at one decimal place, we conclude that 1.5 divided by 2.5, rounded to the nearest tenth, is 0.6.