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Write the indicated sum in decimal form and round to the nearest thousandth, if necessary.

\[ \frac{20}{50} + 6.046 + \frac{9}{11} \]

Answer :

Sure! Let's break down the solution step by step.

1. Convert the Fractions to Decimals:
- First, we need to convert the fractions into decimal form.
- [tex]\(\frac{20}{50}\)[/tex] simplifies to [tex]\(0.4\)[/tex].
- [tex]\(\frac{9}{11}\)[/tex] converts to approximately [tex]\(0.818\)[/tex] when expressed as a decimal.

2. Perform the Addition:
- Next, we'll add the decimal values, including the whole number:
- Start with [tex]\(0.4\)[/tex], add the next number [tex]\(6.046\)[/tex], then add [tex]\(0.818\)[/tex].
- So, the addition looks like this:
- [tex]\(0.4 + 6.046 + 0.818 = 7.264\)[/tex].

3. Round to the Nearest Thousandth:
- Lastly, we need to round the sum to the nearest thousandth (the third digit after the decimal point).
- In this case, the sum [tex]\(7.264\)[/tex] already ends with a 4 as the third digit after the decimal, so it is already rounded to the nearest thousandth.

Therefore, the indicated sum in decimal form, rounded to the nearest thousandth, is [tex]\(7.264\)[/tex].

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