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4. Lenny says, 14 Explain what he has done incorrectly and work out the correct answer.​

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Lenny incorrectly added fractions with denominators 11 and 3 without finding a common denominator. The correct sum, with a common denominator of 33, is
\((43)/(3)\).

Lenny has incorrectly added fractions by denominators. To add fractions, you need a common denominator. In this case, the common denominator would be the least common multiple (LCM) of 11 and 3, which is 33.

Here's the correct process:


\[ (7)/(11) + (2)/(3) \]

Now, we need to make the denominators the same. Multiply the first fraction by
\((3)/(3)\) and the second fraction by
\((11)/(11)\) to get a common denominator of 33.


\[ (7 \cdot 3)/(11 \cdot 3) + (2 \cdot 11)/(3 \cdot 11) \]

Simplify the fractions:


\[ (21)/(33) + (22)/(33) \]

Now that the denominators are the same, add the numerators:


\[ (21 + 22)/(33) \]


\[ (43)/(33) \]

Finally, simplify the fraction:


\[ (43)/(33) = (43)/(3 \cdot 11) = (43)/(3) \]

So, the correct answer is
\((43)/(3)\).

The probable question may be:

Lenny says 7/11 + 2/3 = 9/14 Explain what he has done incorrectly and work out the correct answer.

User Greg Bacon
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