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What is the answer if we subtract the sum of 3 1/3 and 2 2/3 from the sum of 2 3/4 and 5 1/3

User Biswanath
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Let's calculate the expression:

\[ (2 \frac{3}{4} + 5 \frac{1}{3}) - (3 \frac{1}{3} + 2 \frac{2}{3}) \]

First, add the numbers inside each parenthesis:

\[ (2 \frac{3}{4} + 5 \frac{1}{3}) = 8 \frac{11}{12} \]

\[ (3 \frac{1}{3} + 2 \frac{2}{3}) = 5 \frac{1}{2} \]

Now, subtract the second sum from the first:

\[ 8 \frac{11}{12} - 5 \frac{1}{2} \]

To subtract, find a common denominator, which is 12 in this case:

\[ \frac{99}{12} - \frac{66}{12} \]

Now, subtract the numerators:

\[ \frac{33}{12} \]

Simplify the fraction:

\[ 2 \frac{9}{12} \]

Reduce the fraction:

\[ 2 \frac{3}{4} \]

So, the answer is \( 2 \frac{3}{4} \).
User Russell Young
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