Solve the expression (0.35)/(0.5).
The Correct Answer and Explanation is :
The correct answer is: 0.7
To solve the expression ((0.35) / (0.5)), we can perform the division directly.
[
\frac{0.35}{0.5} = 0.7
]
Explanation
When dividing decimal numbers, one approach is to eliminate the decimals by converting them into whole numbers. To do this, we can multiply both the numerator and the denominator by the same factor of 10, which will shift the decimal point to the right. In this case, we can multiply both (0.35) and (0.5) by (10):
[
0.35 \times 10 = 3.5
]
[
0.5 \times 10 = 5
]
Now we can rewrite the division as:
[
\frac{3.5}{5}
]
Next, we can perform the division. (3.5) divided by (5) gives:
[
3.5 \div 5 = 0.7
]
This calculation shows that (0.35) is (70\%) of (0.5). In other terms, if you have half of something (represented by (0.5)), then (0.35) is a little more than half of that amount.
This division can also be understood in terms of proportions. If we consider the whole as (1) (or (100\%)), then (0.5) represents (50\%) of the whole, and (0.35) represents (35\%). Therefore, when we divide these percentages, we can interpret the result as (0.7) or (70\%) of (0.5).
In summary, the expression ((0.35)/(0.5)) simplifies to (0.7), demonstrating how many times (0.5) fits into (0.35) and providing insight into the relationship between these decimal values.