1. $10 \frac{6}{7} - \frac{76}{7} = 10 \frac{6}{7}$ 2. $1 \frac{2}{3} - \frac{8}{6} = 1 \frac{2}{6}$ 3. $12 \frac{4}{6} - \frac{72}{6} = 12 \frac{4}{6}$ 4. $11 \frac{2}{3} - \frac{33}{3} = 11 \frac{2}{3}$
Answer (2)
Let's analyze the mathematical expressions given in the question.
Expression: 10 7 6 − 7 76 = 10 7 6 Solution:
First, convert the mixed number to an improper fraction: 10 7 6 = 7 76
Now, subtract the two fractions: 7 76 − 7 76 = 0
The statement is incorrect because the correct result is 0, not 10 7 6 .
Expression: 1 3 2 − 6 8 = 1 6 2 Solution:
Convert both fractions to a common denominator. The two fractions are already in terms of sixths.
The correct result of 1 3 2 = 3 5 should be converted to sixths: 6 10 − 6 8 = 6 2
Indeed it is equal to 3 1 , not 1 6 2 , so this is incorrect.
Expression: 12 6 4 − 6 72 = 12 6 4 Solution:
Convert 12 6 4 to an improper fraction: 6 76
Subtract: 6 76 − 6 72 = 6 4
Which simplifies to 3 2 , not 12 6 4 , so this is also incorrect.
Expression: 11 3 2 − 3 33 = 11 3 2 Solution:
Convert 11 3 2 to an improper fraction: 3 35
Subtract 3 33 from 3 35 : 3 35 − 3 33 = 3 2
This is correct since it states 3 2 as the result left.
From these breakdowns, choice 4 is applicable correction for the transformation in fraction subtraction, involving mixed numbers and improper fractions.
All four mathematical expressions provided are incorrect because the results do not match the left-hand sides. Each expression, when solved, leads to results that differ from the stated equivalences. Proper fractions and mixed numbers must be carefully converted and evaluated to avoid such errors.
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