91Ó°ÊÓ

To deeply understand fractions, you must first know what a numerator and denominator are. These two parts form every fraction.

The numerator is the number above the fraction line. It represents how many parts we are considering.
The denominator is the number below the fraction line. It shows the total number of equal parts in one whole.

For example, in the fraction \(\frac{3}{5}\), the numerator is 3. This tells us we are considering 3 parts. The denominator is 5, which means the whole is divided into 5 equal parts.
So the fraction \(\frac{3}{5}\) means '3 out of 5 equal parts'.
In our example problem, the numerator is -51, and the denominator is 1000. This means we have -51 parts out of 1000 equal parts.

Converting fractions to decimals is often necessary in math. This might seem tricky at first, but it's simple once you know the steps.
To convert a fraction to a decimal, you divide the numerator by the denominator.
For example, let's take the fraction \(\frac{1}{4}\):

• Numerator = 1
• Denominator = 4

Now we divide 1 by 4 using basic division. This gives us 0.25. So, \(\frac{1}{4}\) as a decimal is 0.25.

For our problem, we convert \(-\frac{51}{1000}\) to a decimal:

• Numerator = -51
• Denominator = 1000

Dividing -51 by 1000 gives us -0.051. Therefore, \(-\frac{51}{1000}\) as a decimal is -0.051.

Once you have a decimal, the next step is to write it in words. This might be confusing, but it's actually straightforward with a few tips.
First, look at the whole number part before the decimal point. In -0.051, the whole number part is 0. This means there are no whole numbers.

Next, the numbers after the decimal point represent the parts of a whole.

• The first digit is the tenths place.
• The second digit is the hundredths place.
• The third digit is the thousandths place.

In our example, -0.051:

• 0 is in the units place.
• 5 is in the hundredths place.
• 1 is in the thousandths place.

Putting this together in words:
The word for -0.051 is 'negative fifty-one thousandths'. Notice that here's how it breaks down:

• 'negative' because the original fraction is negative.
• 'fifty-one' is the number after the decimal.
• 'thousandths' represents that it is out of 1000 parts.

Always remember to use the correct place value words (tenths, hundredths, thousandths) to match the number of decimal places.