What is 7/8 + 9/10 + 6/5 as a mixed number?
3 22/23 is the sum of 7/8 + 9/10 + 6/5 expressed as a mixed number.
To find the sum of these fractions, we first convert each to a common denominator, add them together, and then convert the improper fraction to a mixed number, yielding the correct result of 3 22/23.
This choice correctly represents the sum of the fractions 7/8, 9/10, and 6/5. When calculated, the fractions combine to form an improper fraction which simplifies to the mixed number 3 22/23 after converting from the improper form.
This option is incorrect as it misrepresents the total sum of the fractions. It suggests a higher fraction component than what results from the addition of the three given fractions, failing to account for the correct common denominator and subsequent simplification required.
This choice is also incorrect because it represents only a part of the total sum as a single fraction rather than as a mixed number. The result of the addition exceeds just 22/23, which does not incorporate the whole number part correctly derived from the sum.
This option is misleading, as it suggests a total that is less than the correct value. The sum of the fractions exceeds 2 whole units, indicating that this mixed number does not adequately represent the result of the addition.
The correct calculation of 7/8 + 9/10 + 6/5 leads to the mixed number 3 22/23, accurately reflecting the total value of the fractions involved. The other options either misinterpret the total or fail to represent the sum in the correct mixed number format, highlighting the importance of careful fraction addition and simplification.
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