Answer :

Alright, let's solve this step by step.

We need to find the decimal equivalent of the fraction [tex]\( \frac{12}{25} \)[/tex].

1. Understand the fraction:

The fraction [tex]\( \frac{12}{25} \)[/tex] represents the division of 12 by 25.

2. Perform the division:

To convert the fraction to a decimal, you divide the numerator (12) by the denominator (25).

3. Division Work:

When you divide 12 by 25, you are essentially finding out how many times 25 fits into 12. Since 25 does not fit into 12 at all, we'll need to use decimal points.

4. Decimal Placement:

Since 12 is less than 25, the decimal point will lead. Consider adding a decimal to 12, making it 12.0. Now you can divide:

- 25 fits into 120 exactly 4 times (25 x 4 = 100).

- Subtract 100 from 120 to get a remainder of 20.

- Bring down a 0 to make it 200.

- 25 fits into 200 exactly 8 times (25 x 8 = 200).

- Subtract 200 from 200 to get a remainder of 0.

5. Result:

After performing the division, you find that [tex]\( \frac{12}{25} \)[/tex] is exactly 0.48.

So, the equivalent decimal of [tex]\( \frac{12}{25} \)[/tex] is 0.48.

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