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McGraw-Hill Math Grade 7 Answer Key Lesson 6.2 Changing Mixed Numbers to Improper Fractions
Exercises Change To Improper Fractions
Question 1.
3\(\frac{1}{4}\)
Answer:
To convert the given mixed number 3\(\frac{1}{4}\) to improper fraction.
First multiply the whole number 3 by the denominator 4.
3 × 4 = 12
The product 12 is added to the numerator 1.
12 + 1 = 13
Now, we have to write the answer 13 which is obtained from the above step over the denominator.
The mixed number 3\(\frac{1}{4}\) in improper fraction is \(\frac{13}{4}\).
Question 2.
-5\(\frac{3}{7}\)
Answer:
To convert the given mixed number -5\(\frac{3}{7}\) to improper fraction.
First multiply the whole number 5 by the denominator 7.
5 × 7 = 35
The product 35 is added to the numerator 3.
35 + 3 = 38
Now, we have to write the answer 38 which is obtained from the above step over the denominator.
The mixed number -5\(\frac{3}{7}\) in improper fraction as –\(\frac{38}{7}\).
Question 3.
12\(\frac{3}{11}\)
Answer:
To convert the given mixed number 12\(\frac{3}{11}\) to improper fraction.
First multiply the whole number 12 by the denominator 11.
12 × 11 = 132
The product 132 is added to the numerator 3.
132 + 3 = 135
Now, we have to write the answer 135 which is obtained from the above step over the denominator.
The mixed number 12\(\frac{3}{11}\) in improper fraction as \(\frac{135}{11}\).
Question 4.
14\(\frac{3}{5}\)
Answer:
To convert the given mixed number 14\(\frac{3}{5}\) to improper fraction.
First multiply the whole number 14 by the denominator 5.
14 × 5 = 70
The product 70 is added to the numerator 3.
70 + 3 = 73
Now, we have to write the answer 73 which is obtained from the above step over the denominator.
The mixed number 14\(\frac{3}{5}\) in improper fraction as \(\frac{73}{5}\).
Question 5.
1\(\frac{2}{13}\)
Answer:
To convert the given mixed number 1\(\frac{2}{13}\) to improper fraction.
First multiply the whole number 1 by the denominator 13.
1 × 13 = 13
The product 13 is added to the numerator 2.
13 + 2 = 15
Now, we have to write the answer 15 which is obtained from the above step over the denominator.
The mixed number 1\(\frac{2}{13}\) in improper fraction as \(\frac{15}{13}\).
Question 6.
21\(\frac{3}{14}\)
Answer:
To convert the given mixed number 21\(\frac{3}{14}\) to improper fraction.
First multiply the whole number 21 by the denominator 14.
14 × 21 = 294
The product 28 is added to the numerator 3.
294 + 3 = 297
Now, we have to write the answer 297 which is obtained from the above step over the denominator.
The mixed number 21\(\frac{3}{14}\) in improper fraction as \(\frac{297}{14}\).
Question 7.
33\(\frac{1}{9}\)
Answer:
To convert the given mixed number 33\(\frac{1}{9}\) to improper fraction.
First multiply the whole number 33 by the denominator 9.
33 × 9 = 297
The product 297 is added to the numerator 1.
297 + 1 = 298
Now, we have to write the answer 298 which is obtained from the above step over the denominator.
The mixed number 33\(\frac{1}{9}\) in improper fraction as \(\frac{298}{9}\).
Question 8.
-4\(\frac{1}{17}\)
Answer:
To convert the given mixed number -4\(\frac{1}{17}\) to improper fraction.
First multiply the whole number 4 by the denominator 17.
17 × 4 = 68
The product 68 is added to the numerator 1.
68 + 1 = 69
Now, we have to write the answer 69 which is obtained from the above step over the denominator.
The mixed number -4\(\frac{1}{17}\) in improper fraction as –\(\frac{69}{17}\).
Question 9.
102\(\frac{1}{7}\)
Answer:
To convert the given mixed number 102\(\frac{1}{7}\) to improper fraction.
First multiply the whole number 102 by the denominator 7.
102 × 7 = 714
The product 714 is added to the numerator 1.
714 + 1 = 715
Now, we have to write the answer 715 which is obtained from the above step over the denominator.
The mixed number 102\(\frac{1}{7}\) in improper fraction as \(\frac{715}{7}\).
Question 10.
-32\(\frac{1}{2}\)
Answer:
To convert the given mixed number -32\(\frac{1}{2}\) to improper fraction.
First multiply the whole number 32 by the denominator 2.
32 × 2 = 64
The product 64 is added to the numerator 1.
64 + 1 = 65
Now, we have to write the answer 65 which is obtained from the above step over the denominator.
The mixed number -32\(\frac{1}{2}\) in improper fraction as –\(\frac{65}{2}\).
Question 11.
29\(\frac{1}{29}\)
Answer:
To convert the given mixed number 29\(\frac{1}{29}\) to improper fraction.
First multiply the whole number 29 by the denominator 29.
29 × 29 = 841
The product 841 is added to the numerator 1.
841 + 1 = 842
Now, we have to write the answer 842 which is obtained from the above step over the denominator.
The mixed number 29\(\frac{1}{29}\) in improper fraction as \(\frac{842}{29}\).
Question 12.
37\(\frac{3}{8}\)
Answer:
To convert the given mixed number 37\(\frac{3}{8}\) to improper fraction.
First multiply the whole number 37 by the denominator 8.
37 × 8 = 296
The product 296 is added to the numerator 3.
296 + 3 = 299
Now, we have to write the answer 299 which is obtained from the above step over the denominator.
The mixed number 37\(\frac{3}{8}\) in improper fraction as \(\frac{299}{8}\).
Question 13.
15\(\frac{2}{3}\)
Answer:
To convert the given mixed number 15\(\frac{2}{3}\) to improper fraction.
First multiply the whole number 15 by the denominator 3.
15 × 3 = 45
The product 45 is added to the numerator 2.
45 + 2 = 47
Now, we have to write the answer 47 which is obtained from the above step over the denominator.
The mixed number 15\(\frac{2}{3}\) in improper fraction as \(\frac{47}{3}\).
Question 14.
61\(\frac{5}{14}\)
Answer:
To convert the given mixed number 61\(\frac{5}{14}\) to improper fraction.
First multiply the whole number 61 by the denominator 14.
61 × 14 = 854
The product 854 is added to the numerator 5.
854 + 5 = 859
Now, we have to write the answer 859 which is obtained from the above step over the denominator.
The mixed number 61\(\frac{5}{14}\) in improper fraction as \(\frac{859}{14}\).
Question 15.
7\(\frac{2}{17}\)
Answer:
To convert the given mixed number 7\(\frac{2}{17}\) to improper fraction.
First multiply the whole number 7 by the denominator 17.
7 × 17 = 119
The product 119 is added to the numerator 2.
119 + 2 = 121
Now, we have to write the answer 121 which is obtained from the above step over the denominator.
The mixed number 7\(\frac{2}{17}\) in improper fraction as \(\frac{121}{17}\).
Question 16.
-6\(\frac{3}{22}\)
Answer:
To convert the given mixed number -6\(\frac{3}{22}\) to improper fraction.
First multiply the whole number 6 by the denominator 22.
6 × 22 = 132
The product 132 is added to the numerator 3.
132 + 3 = 135
Now, we have to write the answer 135 which is obtained from the above step over the denominator.
The mixed number -6\(\frac{3}{22}\) in improper fraction as –\(\frac{135}{22}\).
Question 17.
23\(\frac{2}{3}\)
Answer:
To convert the given mixed number 23\(\frac{2}{3}\) to improper fraction.
First multiply the whole number 23 by the denominator 3.
23 × 3 = 69
The product 69 is added to the numerator 2.
69 + 2 = 71
Now, we have to write the answer 71 which is obtained from the above step over the denominator.
The mixed number 23\(\frac{2}{3}\) in improper fraction as \(\frac{71}{3}\).
Question 18.
15\(\frac{4}{7}\)
Answer:
To convert the given mixed number 15\(\frac{4}{7}\) to improper fraction.
First multiply the whole number 15 by the denominator 7.
15 × 7 = 105
The product 105 is added to the numerator 4.
105 + 4= 109
Now, we have to write the answer 109 which is obtained from the above step over the denominator.
The mixed number 15\(\frac{4}{7}\) in improper fraction as \(\frac{109}{7}\).
Question 19.
-13\(\frac{1}{13}\)
Answer:
To convert the given mixed number -13\(\frac{1}{13}\) to improper fraction.
First multiply the whole number 13 by the denominator 13.
13 × 13 = 169
The product 169 is added to the numerator 1.
169 + 1 = 170
Now, we have to write the answer 170 which is obtained from the above step over the denominator.
The mixed number -13\(\frac{1}{13}\) in improper fraction as –\(\frac{170}{13}\).
Question 20.
4\(\frac{4}{44}\)
Answer:
To convert the given mixed number 4\(\frac{4}{44}\) to improper fraction.
First multiply the whole number 4 by the denominator 44.
4 × 44 = 176
The product 176 is added to the numerator 4.
176 + 4 = 180
Now, we have to write the answer 180 which is obtained from the above step over the denominator.
The mixed number 4\(\frac{4}{44}\) in improper fraction as \(\frac{180}{44}\).