Questions: Add or subtract as indicated. 3/11 - 1/4

Add or subtract as indicated. 3/11 - 1/4
Transcript text: Add or subtract as indicated. \[ \frac{3}{11}-\frac{1}{4} \]
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Solution

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Solution Steps

To solve the problem of subtracting two fractions, we need to find a common denominator. The least common denominator (LCD) of 11 and 4 is 44. We will convert each fraction to have this common denominator and then perform the subtraction.

Step 1: Finding a Common Denominator

To subtract the fractions \( \frac{3}{11} \) and \( \frac{1}{4} \), we first need to find a common denominator. The least common denominator (LCD) of 11 and 4 is 44.

Step 2: Converting the Fractions

Next, we convert each fraction to have the common denominator of 44: \[ \frac{3}{11} = \frac{3 \times 4}{11 \times 4} = \frac{12}{44} \] \[ \frac{1}{4} = \frac{1 \times 11}{4 \times 11} = \frac{11}{44} \]

Step 3: Performing the Subtraction

Now that both fractions have the same denominator, we can subtract them: \[ \frac{12}{44} - \frac{11}{44} = \frac{12 - 11}{44} = \frac{1}{44} \]

Final Answer

The result of the subtraction is \(\boxed{\frac{1}{44}}\).

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