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1. Simplify:

(a) [tex]\left(11 \frac{1}{13} - 1 \frac{3}{8}\right) + 2 \frac{7}{8}[/tex]

Sagot :

GinnyAnswer
To simplify the expression [tex]\( \left(11 \frac{1}{13} - 1 \frac{3}{8}\right) + 2 \frac{7}{8} \)[/tex]:

1. Convert the mixed numbers to improper fractions:
- For [tex]\( 11 \frac{1}{13} \)[/tex]:
[tex]\[ 11 \frac{1}{13} = 11 + \frac{1}{13} \approx 11.076923076923077 \][/tex]

- For [tex]\( 1 \frac{3}{8} \)[/tex]:
[tex]\[ 1 \frac{3}{8} = 1 + \frac{3}{8} = 1.375 \][/tex]

- For [tex]\( 2 \frac{7}{8} \)[/tex]:
[tex]\[ 2 \frac{7}{8} = 2 + \frac{7}{8} = 2.875 \][/tex]

2. Perform the subtraction [tex]\( 11 \frac{1}{13} - 1 \frac{3}{8} \)[/tex]:
[tex]\[ 11.076923076923077 - 1.375 = 9.701923076923077 \][/tex]

3. Add the results:
[tex]\[ 9.701923076923077 + 2.875 = 12.576923076923077 \][/tex]

Thus, the simplified result of [tex]\( \left(11 \frac{1}{13} - 1 \frac{3}{8}\right) + 2 \frac{7}{8} \)[/tex] is [tex]\( 12.576923076923077 \)[/tex].
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