Question 5 of 7 , Step 1 of 1 Write the following number in decimal notation. $$ \begin{array}{l} ext { 4/7 } \ ext { Correct }\end{array} $$ Three hundred fifty and seven tenths

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Question 5 of 7 , Step 1 of 1 Write the following number in decimal notation. $$ \begin{array}{l}	ext { 4/7 } \ 	ext { Correct }\end{array} $$ Three hundred fifty and seven tenths

UpStudy AI · Accepted Answer

To convert the fraction $$ \frac{4}{7} $$ and the mixed number "three hundred fifty and seven tenths" into decimal notation, we will handle each part separately.

### Step 1: Convert $$ \frac{4}{7} $$ to Decimal

To convert the fraction $$ \frac{4}{7} $$ to decimal, we can perform the division of 4 by 7.

### Step 2: Convert "Three hundred fifty and seven tenths" to Decimal

The mixed number "three hundred fifty and seven tenths" can be expressed as:

$$
350 + \frac{7}{10}
$$

Now, we will convert both parts into decimal notation.

1. The whole number part is already in decimal: $$ 350.0 $$.
2. The fraction $$ \frac{7}{10} $$ can be converted to decimal as $$ 0.7 $$.

Now, we can add these two parts together.

Let's perform the calculations.

1. Calculate $$ \frac{4}{7} $$.
2. Calculate $$ 350 + 0.7 $$.

I'll perform these calculations now.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{4}{7}$$
Calculate or simplify the expression $$ 350 + 7/10 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$350+\frac{7}{10}$$
- step1: Reduce fractions to a common denominator:
  $$\frac{350\times 10}{10}+\frac{7}{10}$$
- step2: Transform the expression:
  $$\frac{350\times 10+7}{10}$$
- step3: Multiply the numbers:
  $$\frac{3500+7}{10}$$
- step4: Add the numbers:
  $$\frac{3507}{10}$$
### Results

1. The decimal representation of $$ \frac{4}{7} $$ is approximately $$ 0.571428 $$ (with repeating decimals).
2. The decimal representation of "three hundred fifty and seven tenths" is $$ 350.7 $$.

### Final Answers

- $$ \frac{4}{7} $$ in decimal notation is approximately $$ 0.571428 $$.
- "Three hundred fifty and seven tenths" in decimal notation is $$ 350.7 $$.
$$ \frac{4}{7} $$ is approximately 0.571428, and "three hundred fifty and seven tenths" is 350.7.

Question 5 of 7 , Step 1 of 1 Write the following number in decimal notation. \( \begin{array}{l}\text { 4/7 } \\ \text { Correct }\end{array} \) Three hundred fifty and seven tenths

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