Questions: Subtract: 3/7-1/3 Give your answer in reduced terms.

Subtract: 3/7-1/3 Give your answer in reduced terms.
Transcript text: Subtract: $\frac{3}{7}-\frac{1}{3}$ Give your answer in reduced terms.
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Solution

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Solution Steps

Step 1: Find a Common Denominator

To subtract the fractions \(\frac{3}{7}\) and \(\frac{1}{3}\), we first need to find a common denominator. The denominators are 7 and 3. The least common denominator (LCD) of 7 and 3 is 21.

Step 2: Rewrite the Fractions with the Common Denominator

Rewrite each fraction with the denominator 21: \[ \frac{3}{7} = \frac{3 \times 3}{7 \times 3} = \frac{9}{21} \] \[ \frac{1}{3} = \frac{1 \times 7}{3 \times 7} = \frac{7}{21} \]

Step 3: Subtract the Fractions

Now subtract the two fractions: \[ \frac{9}{21} - \frac{7}{21} = \frac{9 - 7}{21} = \frac{2}{21} \]

Final Answer

The result of \(\frac{3}{7} - \frac{1}{3}\) in reduced terms is: \[ \boxed{\frac{2}{21}} \]

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