Page 144 - NUMINO Challenge_B2
P. 144
Problem solving 3 Fractions p.24~p.25
1 Let represent the number in the colored part. Example 4 3 , 5 , 6 , 7
9 15 18 21
Then, the sum of the five numbers in the 16
48
colored parts can be represented as ( 7) 15
( 6) ( 6) ( 7). Since the sum of
the five numbers is 170, 5 170 and 5 10 15 20 25
1 2345
34. The number in the center is 34; therefore, Try It Again
the greatest number is 34 7 41. 30 35 40 45 50
6 7 8 9 10
2 The sum of the six numbers is equal to the sum
Among the fractions above, there are
of the numbers in the center times 3. Therefore, 4 fractions that are equivalent to 5.
it should be a multiple of 3. and are not
multiples of 3.
Example 5 greater
Creative Thinking p.22~p.23 16 13 11 6 4 2
21 18 16 11 9 7
1 1 2 3 4 5 6 7 8 9 10 Try It Again 5 and 5 have the same numerator.
8 6
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 Therefore, 5 is the greater fraction
31 32 33 34 35 36 37 38 39 40 6
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60 because it has a smaller denominator.
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80 The difference between the denominator
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100 and numerator in 5 and 9 is 1.
6 10
Therefore, 9 is the greater fraction
10
because it has a greater denominator and
numerator.
2 The page numbers are consecutive numbers, so, Since 9 is the greatest fraction and 5 is
10 8
the sum of the 13 consecutive numbers is 338.
The middle page number is 33,813 26; the smallest fraction, the order of the three
therefore, Kate started reading from page 20. fractions from smallest to greatest is
3 The 4 numbers in the 30th square can be 5 5 9 .
8 6 10
represented as below.
30
30 61
Since the sum of the 4 numbers is (
30) ( 30) ( 61) 4 121 and is
equal to 30 30 900 in the 30th square, the
sum of the 4 numbers is 900 4 121 3721.
Answer Key
1 Let represent the number in the colored part. Example 4 3 , 5 , 6 , 7
9 15 18 21
Then, the sum of the five numbers in the 16
48
colored parts can be represented as ( 7) 15
( 6) ( 6) ( 7). Since the sum of
the five numbers is 170, 5 170 and 5 10 15 20 25
1 2345
34. The number in the center is 34; therefore, Try It Again
the greatest number is 34 7 41. 30 35 40 45 50
6 7 8 9 10
2 The sum of the six numbers is equal to the sum
Among the fractions above, there are
of the numbers in the center times 3. Therefore, 4 fractions that are equivalent to 5.
it should be a multiple of 3. and are not
multiples of 3.
Example 5 greater
Creative Thinking p.22~p.23 16 13 11 6 4 2
21 18 16 11 9 7
1 1 2 3 4 5 6 7 8 9 10 Try It Again 5 and 5 have the same numerator.
8 6
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 Therefore, 5 is the greater fraction
31 32 33 34 35 36 37 38 39 40 6
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60 because it has a smaller denominator.
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80 The difference between the denominator
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100 and numerator in 5 and 9 is 1.
6 10
Therefore, 9 is the greater fraction
10
because it has a greater denominator and
numerator.
2 The page numbers are consecutive numbers, so, Since 9 is the greatest fraction and 5 is
10 8
the sum of the 13 consecutive numbers is 338.
The middle page number is 33,813 26; the smallest fraction, the order of the three
therefore, Kate started reading from page 20. fractions from smallest to greatest is
3 The 4 numbers in the 30th square can be 5 5 9 .
8 6 10
represented as below.
30
30 61
Since the sum of the 4 numbers is (
30) ( 30) ( 61) 4 121 and is
equal to 30 30 900 in the 30th square, the
sum of the 4 numbers is 900 4 121 3721.
Answer Key
