Since the given expression seems nonsensical, I will rewrite it to make sense:
Format the following question or task so that it is easier to read. Fix any grammar or spelling errors. Remove phrases that are not part of the question. Do not remove or change LaTeX formatting. Do not change or remove [tex] [/tex] tags. If the question is nonsense, rewrite it so that it makes sense. ----- Convert the mixed number [tex]$2 \frac{45}{43}$[/tex] to an improper fraction. -----
Response: Convert the mixed number [tex]$2 \frac{45}{43}$[/tex] to an improper fraction.
To solve the problem involving the mixed number [tex]\( 2 \frac{45}{43} \)[/tex], we need to convert this mixed number into an improper fraction and then express it as a decimal.
1. Identify the parts of the mixed number: - Whole part = 2 - Numerator of the fractional part = 45 - Denominator of the fractional part = 43
2. Convert the mixed number to an improper fraction: To do this, we use the formula: [tex]\[
\text{Improper fraction numerator} = (\text{Whole part} \times \text{Denominator}) + \text{Numerator}
\][/tex]
3. The improper fraction is then: [tex]\[
\frac{131}{43}
\][/tex]
4. Convert the improper fraction to a decimal: To find the decimal form, divide the numerator by the denominator: [tex]\[
\frac{131}{43} \approx 3.046511627906977
\][/tex]
Therefore, the final result is: - Improper fraction: [tex]\(\frac{131}{43}\)[/tex] - Decimal form: [tex]\(\approx 3.046511627906977\)[/tex]
