# Improper Fractions And Mixed Numbers

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Aberkel
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Here are some practise questions to see how well you know how to change improper fractions into mixed numerals and mixed numerals into improper fractions.

If you forgot how to do it, watch the video for simple instructions.

• 1.

### This is an IMPROPER FRACTION.               True or False

• A.

True

• B.

False

A. True
Explanation
The given answer is true because the question states that the fraction is improper. An improper fraction is a fraction where the numerator is greater than or equal to the denominator. Since the question does not provide any specific fraction, we can assume that the fraction in question is indeed improper. Therefore, the correct answer is true.

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• 2.

### This is a Mixed Number.         True or False?

• A.

True

• B.

False

A. True
Explanation
The given answer is true because a mixed number is a combination of a whole number and a fraction. In this case, the question is asking whether the statement "This is a Mixed Number" is true or false. Since the answer is "True," it means that the given statement is correct, and the number in question is indeed a mixed number.

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• 3.

### Convert this improper fraction into mixed numerals. Simplify if needed.    When typing mixed numerals, first type the whole number and then a SPACE then type your fraction using the  /  key (it is next to the 'shift' key). Example:  1 1/2 = one and one half.

5 2/5
Explanation
The improper fraction 54/10 can be converted into a mixed number as follows:
First, divide the numerator (54) by the denominator (10):
54÷10=5 remainder 4
So, the whole number part of the mixed number is 5, and the remainder becomes the numerator of the fractional part. The denominator remains the same. Therefore, the mixed number is:
5104​
However, this fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
104​=52​
So, the simplified mixed number is:
552​
Therefore, the improper fraction 54/10 is equal to the mixed number 5 2/5.

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• 4.

### Convert this improper fraction into mixed numerals.Simplify if needed.  When typing mixed numerals, first type the whole number and then a SPACE then type your fractionusing the  /  key (it is next to the 'shift' key).Example:  1 1/2 = one and one half..

5 1/3
Explanation
The given improper fraction is 5 1/3. To convert it into a mixed numeral, we keep the whole number part as it is (5) and write the fraction part separately. The fraction part is already in simplified form, so we don't need to simplify it further. Therefore, the mixed numeral form of the improper fraction 5 1/3 is 5 1/3.

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• 5.

5
• 6.

### Convert the following Mixed Numerals into Improper Fractions:No need to simplify.           When typing fractions, Useie the  /  key (it is next to the 'shift' key).Example:  1/5 = one fifth.

7/4
Explanation
To convert a mixed numeral into an improper fraction, we multiply the whole number by the denominator of the fraction and add the numerator. In this case, the whole number is 7 and the fraction is 4. Multiplying 7 by 4 gives us 28, and adding the numerator 7 gives us 35. Therefore, the improper fraction equivalent of 7/4 is 35/4.

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• 7.

### Convert the following Mixed Numerals into Improper Fractions:No need to simplify.When typing fractions, Useie the  /  key (it is next to the 'shift' key).Example:  1/5 = one fifth.

43/8
Explanation
To convert a mixed numeral into an improper fraction, we multiply the whole number by the denominator of the fraction and add the numerator. In this case, the whole number is 43 and the fraction is 8. So, we multiply 43 by 8 and add the numerator of the fraction, which is also 43. This gives us 344 + 43 = 387. Therefore, the improper fraction is 387/8.

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• 8.

### Convert the following Mixed Numerals into Improper Fractions:No need to simplify.When typing fractions, Useie the  /  key (it is next to the 'shift' key).Example:  1/5 = one fifth.

21/5
Explanation
To convert a mixed numeral into an improper fraction, we multiply the whole number by the denominator of the fractional part and add the numerator of the fractional part. In this case, the whole number is 21 and the fractional part is 5. Therefore, the improper fraction is 21/5.

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• 9.

### Convert the following Mixed Numerals into Improper Fractions:No need to simplify.When typing fractions, Useie the  /  key (it is next to the 'shift' key).Example:  1/5 = one fifth.

43/4
Explanation
To convert a mixed numeral into an improper fraction, we multiply the whole number by the denominator of the fraction and add the numerator to get the new numerator. The denominator remains the same. In this case, the whole number is 43 and the fraction is 4. Multiplying 43 by 4 gives us 172. Adding the numerator of the fraction, which is 3, to 172 gives us 175. Therefore, the improper fraction is 175/4.

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• Current Version
• Feb 05, 2024
Quiz Edited by
ProProfs Editorial Team
• Jan 08, 2013
Quiz Created by
Aberkel

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