0.6 divided by 0.12 =

0.6 divided by 0.12 =

A.
5

B.
0.02

C.
0.50

D.
3

The correct answer and Explanation is :

To find the result of ( 0.6 \div 0.12 ), we can convert the division into a fraction:

[
0.6 \div 0.12 = \frac{0.6}{0.12}
]

Next, we can eliminate the decimals by multiplying both the numerator and the denominator by 100:

[
\frac{0.6 \times 100}{0.12 \times 100} = \frac{60}{12}
]

Now, we perform the division:

[
60 \div 12 = 5
]

So, the correct answer is A. 5.

Explanation:

When dividing decimal numbers, one effective method is to convert the division into a fraction, as we did above. This allows us to simplify the calculation by eliminating the decimals, which can sometimes complicate the process.

In our case, we multiplied both the numerator and the denominator by 100, making the calculation straightforward. When working with fractions, we can easily see if one number is divisible by another.

Here’s a deeper breakdown of ( 60 \div 12 ):

• ( 12 ) goes into ( 60 ) exactly ( 5 ) times because:
  • ( 12 \times 1 = 12 )
  • ( 12 \times 2 = 24 )
  • ( 12 \times 3 = 36 )
  • ( 12 \times 4 = 48 )
  • ( 12 \times 5 = 60 )

Therefore, the whole number ( 5 ) indicates how many times ( 12 ) fits into ( 60 ).

To verify our calculation, we can multiply ( 5 ) back by ( 0.12 ):

[
5 \times 0.12 = 0.6
]

This confirms that our division was correct. Understanding how to manipulate decimals and fractions is essential for ensuring accuracy in calculations, especially in fields that require precise measurements, like nursing and healthcare.