With all the adding, subtracting, multiplying and dividing fractions tests, there is no doubt that you will encounter improper fractions as your answer. The problem is most test involving improper fractions require you to convert them to normal or proper fractions, which usually is, a mixed number. You will need to know this type of process when you take the CSC Exam because every correct answer that you can get is important. So the video below so that you can learn how easy the procedure is.
And here’s another one, making use of diagrams to make the process even more understandable.
2. Write the whole number as is.
3. Copy the denominator.
4. Write the remainder as the new numerator.
Now that we know how to change those pesky improper fractions to mixed numbers, it’s now time for some exercises. For our test questions regarding converting improper fractions to mixed numbers, there will be 20 items and you need to convert them all. Again, write your answers in a sheet of paper so you can check them later.
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These are all the answers to the Improper Fractions to Mixed Numbers exercise questions.
1. 3 = To convert 12/4 to a mixed number, we need to divide the numerator (12) by the denominator (4) to get the whole number part of the mixed number, and then write the remainder as the numerator of the fraction part.
12 ÷ 4 = 3, with no remainder.
So the whole number part is 3, and the fraction part is 0/4 (since there is no remainder).
Therefore, the mixed number is 3 0/4. However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common factor (which is 4 in this case).
0/4 simplifies to 0, so we have:
3 0/4 = 3
Therefore, 12/4 as a mixed number is 3.
2. 1 2⁄7 = 9 ÷ 7 = 1, with a remainder of 2.
So the whole number part is 1, and the fraction part is 2/7.
Therefore, the mixed number is 1 2/7.
3. 2 1⁄2 = 15 ÷ 6 = 2, with a remainder of 3.
So the whole number part is 2, and the fraction part is 3/6. However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common factor (which is 3 in this case).
3/6 simplifies to 1/2, so we have:
15/6 = 2 1/2
Therefore, 15/6 as a mixed number is 2 1/2.
4. 2 1⁄4 = 9 ÷ 4 = 2, with a remainder of 1.
So the whole number part is 2, and the fraction part is 1/4.
Therefore, the mixed number is 2 1/4.
5. 9 1⁄9 = 82 ÷ 9 = 9, with a remainder of 1.
So the whole number part is 9, and the fraction part is 1/9.
Therefore, the mixed number is 9 1/9.
6. 6 1⁄5 = 31 ÷ 5 = 6, with a remainder of 1.
So the whole number part is 6, and the fraction part is 1/5.
Therefore, the mixed number is 6 1/5.
7. 4 1⁄3 = 13 ÷ 3 = 4, with a remainder of 1.
So the whole number part is 4, and the fraction part is 1/3.
Therefore, the mixed number is 4 1/3.
8. 4 1⁄7 = 29 ÷ 7 = 4, with a remainder of 1.
So the whole number part is 4, and the fraction part is 1/7.
Therefore, the mixed number is 4 1/7.
9. 2 1⁄5 = 11 ÷ 5 = 2, with a remainder of 1.
So the whole number part is 2, and the fraction part is 1/5.
Therefore, the mixed number is 2 1/5.
10. 10 1⁄6 = 61 ÷ 6 = 10, with a remainder of 1.
So the whole number part is 10, and the fraction part is 1/6.
Therefore, the mixed number is 10 1/6.
11. 2 1⁄3 = 7 ÷ 3 = 2, with a remainder of 1.
So the whole number part is 2, and the fraction part is 1/3.
Therefore, the mixed number is 2 1/3.
12. 7 1⁄7 = 50 ÷ 7 = 7, with a remainder of 1.
So the whole number part is 7, and the fraction part is 1/7.
Therefore, the mixed number is 7 1/7.
13. 4 1⁄4 = 17 ÷ 4 = 4 with a remainder of 1
The quotient 4 represents the whole number part of the mixed number, and the remainder 1 represents the fractional part.
Since the denominator is 4, the fractional part is expressed as 1/4. Thus, we get the mixed number 4 1/4 as the result.
14. 7 1⁄10 = 71 ÷ 10 = 7 with a remainder of 1
The quotient 7 represents the whole number part of the mixed number, and the remainder 1 represents the fractional part.
Since the denominator is 10, the fractional part is expressed as 1/10. Thus, we get the mixed number 7 1/10 as the result.
15. 4 1⁄7 = 29 ÷ 7 = 4 with a remainder of 1
The quotient 4 represents the whole number part of the mixed number, and the remainder 1 represents the fractional part.
Since the denominator is 7, the fractional part is expressed as 1/7. Thus, we get the mixed number 4 1/7 as the result.
16. 9 1⁄6 = 55 ÷ 6 = 9 with a remainder of 1
The quotient 9 represents the whole number part of the mixed number, and the remainder 1 represents the fractional part.
Since the denominator is 6, the fractional part is expressed as 1/6. Thus, we get the mixed number 9 1/6 as the result.
17. 2 1⁄10 = 21 ÷ 10 = 2 with a remainder of 1
The quotient 2 represents the whole number part of the mixed number, and the remainder 1 represents the fractional part.
Since the denominator is 10, the fractional part is expressed as 1/10. Thus, we get the mixed number 2 1/10 as the result.
18. 6 1⁄4 = 25 ÷ 4 = 6 with a remainder of 1
The quotient 6 represents the whole number part of the mixed number, and the remainder 1 represents the fractional part.
Since the denominator is 4, the fractional part is expressed as 1/4. Thus, we get the mixed number 6 1/4 as the result.
19. 2 = The fraction 16/8 can be simplified to 2/1, which is already a whole number. Therefore, the mixed number representation of 16/8 is 2 0/8 or simply 2.
16/8 = (16 ÷ 8) / (8 ÷ 8) = 2/1
Since the numerator is now a multiple of the denominator, we have a whole number of 2. The fractional part is 0/8, which can be simplified to 0. However, it is common practice to express whole numbers without a fractional part, so we get the mixed number 2 as the result.
20. 19 = 76 ÷ 4 = 19
Since the numerator is a multiple of the denominator, we get a whole number of 19. Thus, the mixed number representation of 76/4 is 19.
17 correct answers would be great if you got them. If less however, I strongly suggest you repeat the exercise. By doing that, you will get used to the process of converting improper fractions to mixed numbers. In addition, check out more CSC reviewer math exercises so you could be better with numbers.
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