Question
Which improper fraction is equal to the mixed number 479?
Responses
379
37 over 9
209
20 over 9
439
43 over 9
479
Responses
379
37 over 9
209
20 over 9
439
43 over 9
479
Answers
GPT-4o mini
To convert the mixed number 479 into an improper fraction, we need to first recognize that 479 is not in the traditional mixed number format (which usually has a whole number and a proper fraction). It seems like you meant a mixed number that comprises the whole part and a fraction.
However, if we take 479 as just a whole number, it could also be interpreted as:
- The mixed number has a whole part of 4 and a fractional part of 79/9, which we can convert into an improper fraction.
To clarify based on your question:
If considering the whole number 479, we can represent it as:
\[ 479 = \frac{479 \times 9 + 0}{9} = \frac{4311}{9} \]
But since mixed numbers are generally in the form of a number plus a fraction, thus we can conclude based on your options that they are improper fractions equivalent to possible mixed representations.
Considering your responses further, it looks like the fractions provided may relate to something else. Assuming these could be 43 and 9, let's simplify to find matching standards.
Among your options, only \( 43/9 \) is an improper faction closest to possible mixed interpretation.
If the context is strictly 479, then a whole integer representation would be 479 directly. Please verify if the mixed number aspect was intended or clarified.
However, if we take 479 as just a whole number, it could also be interpreted as:
- The mixed number has a whole part of 4 and a fractional part of 79/9, which we can convert into an improper fraction.
To clarify based on your question:
If considering the whole number 479, we can represent it as:
\[ 479 = \frac{479 \times 9 + 0}{9} = \frac{4311}{9} \]
But since mixed numbers are generally in the form of a number plus a fraction, thus we can conclude based on your options that they are improper fractions equivalent to possible mixed representations.
Considering your responses further, it looks like the fractions provided may relate to something else. Assuming these could be 43 and 9, let's simplify to find matching standards.
Among your options, only \( 43/9 \) is an improper faction closest to possible mixed interpretation.
If the context is strictly 479, then a whole integer representation would be 479 directly. Please verify if the mixed number aspect was intended or clarified.
lunabella
Which improper fraction is equal to the mixed number 4 7/9?
Responses
379
37 over 9
209
20 over 9
439
43 over 9
479
Responses
379
37 over 9
209
20 over 9
439
43 over 9
479
GPT-4o mini
To convert the mixed number \(4 \frac{7}{9}\) into an improper fraction, you follow these steps:
1. Multiply the whole number part (4) by the denominator of the fractional part (9).
\[
4 \times 9 = 36
\]
2. Add the numerator of the fractional part (7) to that product.
\[
36 + 7 = 43
\]
3. Place that result over the original denominator (9).
\[
4 \frac{7}{9} = \frac{43}{9}
\]
So, the improper fraction equivalent to the mixed number \(4 \frac{7}{9}\) is \(\frac{43}{9}\).
From the options you've provided, the correct choice is:
- **439 (43 over 9)**.
1. Multiply the whole number part (4) by the denominator of the fractional part (9).
\[
4 \times 9 = 36
\]
2. Add the numerator of the fractional part (7) to that product.
\[
36 + 7 = 43
\]
3. Place that result over the original denominator (9).
\[
4 \frac{7}{9} = \frac{43}{9}
\]
So, the improper fraction equivalent to the mixed number \(4 \frac{7}{9}\) is \(\frac{43}{9}\).
From the options you've provided, the correct choice is:
- **439 (43 over 9)**.