Question
Find the difference: three-sevenths minus one-third equals
(1 point)
Responses
two-fourths
Image with alt text: two-fourths
Image with alt text:
Image with alt text:
(1 point)
Responses
two-fourths
Image with alt text: two-fourths
Image with alt text:
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Answers
GPT-4o mini
To find the difference between three-sevenths and one-third, we first need to find a common denominator.
The denominators are 7 and 3. The least common multiple of 7 and 3 is 21.
Now, we convert both fractions to have this common denominator:
1. Convert three-sevenths (3/7) to have a denominator of 21:
\[
\frac{3}{7} = \frac{3 \times 3}{7 \times 3} = \frac{9}{21}
\]
2. Convert one-third (1/3) to have a denominator of 21:
\[
\frac{1}{3} = \frac{1 \times 7}{3 \times 7} = \frac{7}{21}
\]
Now, we can subtract the two fractions:
\[
\frac{9}{21} - \frac{7}{21} = \frac{9 - 7}{21} = \frac{2}{21}
\]
So, three-sevenths minus one-third equals \(\frac{2}{21}\).
The response "two-fourths" is not correct in this context, as two-fourths simplifies to one-half, which is not equal to the result we found. The correct answer is \(\frac{2}{21}\).
The denominators are 7 and 3. The least common multiple of 7 and 3 is 21.
Now, we convert both fractions to have this common denominator:
1. Convert three-sevenths (3/7) to have a denominator of 21:
\[
\frac{3}{7} = \frac{3 \times 3}{7 \times 3} = \frac{9}{21}
\]
2. Convert one-third (1/3) to have a denominator of 21:
\[
\frac{1}{3} = \frac{1 \times 7}{3 \times 7} = \frac{7}{21}
\]
Now, we can subtract the two fractions:
\[
\frac{9}{21} - \frac{7}{21} = \frac{9 - 7}{21} = \frac{2}{21}
\]
So, three-sevenths minus one-third equals \(\frac{2}{21}\).
The response "two-fourths" is not correct in this context, as two-fourths simplifies to one-half, which is not equal to the result we found. The correct answer is \(\frac{2}{21}\).