Write 31/8 as a mixed number.a)4b)4 (7/8) c)3(1/8)d)3(7/8)Correct answ...
When we divide 31 by 8, we get 7 as remainder and 3 as dividend, thus the mixed fraction would be Dividend + Remainder / Divisor = 3 + 7/8 or 3(7/8)
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Write 31/8 as a mixed number.a)4b)4 (7/8) c)3(1/8)d)3(7/8)Correct answ...
Understanding Mixed Numbers
To convert the improper fraction 31/8 into a mixed number, follow these steps:
Step 1: Divide the Numerator by the Denominator
- Divide 31 by 8.
- The result is 3, with a remainder.
Step 2: Determine the Remainder
- Calculate the remainder:
- 31 - (8 * 3) = 31 - 24 = 7.
- So, the remainder is 7.
Step 3: Construct the Mixed Number
- The whole number from the division is 3.
- The remainder becomes the numerator of the fractional part.
- The denominator remains the same (8).
So, we can express 31/8 as:
- 3 (7/8).
Final Answer
Thus, the mixed number form of 31/8 is 3(7/8), which corresponds to option 'D'.
Summary of the Options
- a) 4: Incorrect, as 31/8 is less than 4.
- b) 4 (7/8): Incorrect, since it's greater than 31/8.
- c) 3(1/8): Incorrect, as it does not represent the correct remainder.
- d) 3(7/8): Correct answer, accurately representing 31/8 as a mixed number.
This breakdown clarifies how to convert an improper fraction into a mixed number, ensuring a clear understanding of the problem.