0.9 divided by 0.15=
A.
0.02
B.
0.60
C.
5
D.
6
The correct answer and Explanation is :
The correct answer is D. 6.
To understand why, let’s break down the division of 0.9 by 0.15.
First, we can simplify the division by removing the decimals. This is done by multiplying both the numerator (0.9) and the denominator (0.15) by the same factor to make the calculation easier. In this case, multiplying both by 100 works well:
- 0.9 multiplied by 100 equals 90.
- 0.15 multiplied by 100 equals 15.
Now we can rewrite the division problem as:
[ \frac{90}{15} ]
Next, we perform the division:
- 90 divided by 15 equals 6.
So, 0.9 divided by 0.15 is indeed 6.
To further verify, let’s use a calculator or perform the division directly:
- Convert to fraction form:
[ \frac{0.9}{0.15} ]
- Divide 0.9 by 0.15 directly using long division or a calculator.
When you divide 0.9 by 0.15, you get exactly 6. This result confirms our earlier calculation.
Another way to think about it is to recognize that 0.15 is 1/6 of 0.9. So when dividing 0.9 by 0.15, you are essentially determining how many times 0.15 fits into 0.9, which is 6 times.
Understanding the concept of division in decimal terms helps simplify complex problems and ensures accuracy. Dividing by decimals can initially seem tricky, but converting to fractions or whole numbers often makes the process clearer.