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In these exercises, you may be able to complete the problems mentally and therefore will not have any loose leaf to hand in to Miss Wrenn. However, if you do use loose leaf, please hand it in.
Use the link on the right side "Mixed Numbers and Improper Fractions" to review how to change mixed numbers into improper fractions and improper fractions into mixed numbers.
Questions and Answers
1.
Here is an example of how to type a mixed number such as "two and three-fourths": 2 3/4Change this improper fraction to a mixed number:17 5
Explanation The given improper fraction is 17/5. To convert it to a mixed number, we divide the numerator (17) by the denominator (5). The quotient is 3, which becomes the whole number part of the mixed number. The remainder is 2, which becomes the numerator of the fractional part. The denominator remains the same. Therefore, the mixed number equivalent of 17/5 is 3 2/5.
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2.
Change this improper fraction to a mixed number in lowest terms:26 4
Explanation The given improper fraction, 26/4, can be converted to a mixed number by dividing the numerator (26) by the denominator (4). This division yields a quotient of 6 and a remainder of 2. The quotient becomes the whole number part of the mixed number, while the remainder becomes the numerator of the fractional part. Since the remainder is 2 and the denominator is 4, the fraction is 2/4, which can be simplified to 1/2. Therefore, the mixed number in lowest terms is 6 1/2.
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3.
Change this improper fraction to a mixed number:33 7
Explanation The given improper fraction, 33/7, can be converted to a mixed number by dividing the numerator (33) by the denominator (7). The quotient is 4, which becomes the whole number part of the mixed number. The remainder is 5, which becomes the numerator of the fractional part. The denominator remains the same, which is 7. Therefore, the mixed number representation of 33/7 is 4 5/7.
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4.
Here is an example of how to type an improper fraction such as "twenty-two thirds":
22/3Change the mixed number into an improper fraction:3 4/7
Explanation The question asks for the explanation of how to change a mixed number into an improper fraction. In this specific example, the mixed number is 3 4/7. To convert it into an improper fraction, you multiply the whole number (3) by the denominator (7) and add the numerator (4) to get the new numerator (25). The denominator remains the same (7). Therefore, the improper fraction equivalent of 3 4/7 is 25/7.
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5.
Change the mixed number into an improper fraction:2 2/5
Explanation To change a mixed number into an improper fraction, we multiply the whole number by the denominator of the fraction and add the numerator. In this case, we multiply 2 by 5 (denominator of the fraction) and add 2 (numerator). This gives us 10+2=12. The denominator remains the same, so the improper fraction is 12/5.
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6.
Change the mixed number into an improper fraction:5 1/6
Explanation To change a mixed number into an improper fraction, we multiply the whole number by the denominator of the fraction and add the numerator. In this case, we multiply 5 by 6 (the denominator of 1/6) and add 1 to get 31. The denominator remains the same. Therefore, the mixed number 5 1/6 can be written as the improper fraction 31/6.
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7.
Change the mixed number that contains an improper fraction into a mixed number in lowest terms:2 5/3
Explanation To change a mixed number that contains an improper fraction into a mixed number in lowest terms, we need to divide the numerator of the fraction by the denominator. In this case, the improper fraction is 5/3. When we divide 5 by 3, we get a quotient of 1 and a remainder of 2. So, the mixed number in lowest terms is 3 2/3.
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8.
Change the mixed number that contains an improper fraction into a mixed number in lowest terms:1 15/4
Explanation To change a mixed number with an improper fraction into a mixed number in lowest terms, we need to divide the numerator of the fraction by the denominator. In this case, the numerator is 15 and the denominator is 4. When we divide 15 by 4, we get a quotient of 3 with a remainder of 3. This means that the improper fraction 15/4 is equivalent to the mixed number 3 3/4. However, since the question asks for the answer in lowest terms, we simplify the mixed number to 4 3/4.
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9.
Change the mixed number that contains an improper fraction into a mixed number in lowest terms:2 4/3
Explanation To change a mixed number that contains an improper fraction into a mixed number in lowest terms, we need to convert the improper fraction into a proper fraction. In this case, the improper fraction is 4/3. To convert it, we divide the numerator (4) by the denominator (3), which equals 1 and a remainder of 1. Therefore, the proper fraction is 1 1/3. Adding this to the whole number 2, the mixed number in lowest terms is 3 1/3.
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