Questions: 5) 9/12 + 11/12 + 7/12 =

5) 9/12 + 11/12 + 7/12 =
Transcript text: 5) $\frac{9}{12}+\frac{11}{12}+\frac{7}{12}=$
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Solution

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Solution Steps

Step 1: Find the Least Common Denominator (LCD)

To find the LCD, we calculate the LCM of all denominators: [12, 12, 12]. The LCD is 12.

Step 2: Convert each fraction to an equivalent fraction with the LCD

Fraction 1: \(\frac{9}{12}\) becomes \(\frac{9}{12}\). Fraction 2: \(\frac{11}{12}\) becomes \(\frac{11}{12}\). Fraction 3: \(\frac{7}{12}\) becomes \(\frac{7}{12}\). All fractions are converted to have 12 as the denominator.

Step 3: Sum the numerators

The sum of the converted numerators is 27.

Step 4: Simplify the resulting fraction

The GCD of 27 and 12 is 3. The fraction \(\frac{27}{12}\) simplifies to \(\frac{9}{4}\).

Final Answer:

The sum of the given fractions is approximately 2.25 when rounded to 2 decimal places.

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