Page 142 - NUMINO Challenge_D1
P. 142
Type 1-2 Making Fractions p.12~p.13 Creative Thinking p.14~p.15
1 If the sum of numerators is not divisible by 7, 1 Since each number card should be used only
the result of the equation cannot be a natural
number. Therefore, the sum should be a once, the numerator and the denominator should
multiple of 7. each be a 3-digit number. Start by finding the
number in the hundreds place that is a multiple
1 2 4 of 4.
27 7 7
1 Then, the fraction is 4
1
3 5 6 2
7 7 7
Use the remaining cards 0, 2, 3, and 5 to make
The order of the numerators can be changed.
423
1 2 4 the fraction that is closest to 4: 105
7 7 7
3 3 5 6 15 2 When you put 1's together, the number that is
1 3 2 5 4 6 9 smaller than, but closest to, 234 is 111. Since
7 7 7 111 111 222, make two 111's and use the
remaining three 1's to make the equation 11 1 12.
The order of the whole numbers and numerators
can be changed. 111 111 11 1 234
Problem solving 3 When you put 7's together, the number that is
1 Since the sum of the numerators is a multiple of smaller than, but closest to, 245 is 77.
Since 77 3 231, make three 77's and use the
5, the numerators can be 1 and 4; or 2 and 3. remaining two 7's to make the equation 7 7 14.
When the numerators are 1 and 4, the natural
numbers are 2 and 3, and the result is 77 77 77 7 7 245
2 2 3 4 6. When the numerators are 2 and 3, 4 All the given numbers are proper fractions
5 5
smaller than 1. The product of two numbers will
the natural numbers are 1 and 4, and the result is be smaller than the original number, and the
quotient will be greater than the original
1 2 4 3 6. Therefore, the result of the equation number. Therefore, insert after and insert
5 5
before . The result increases when greater
is 6. numbers are added.
2 The greatest proper fraction that can be made 1 2 3 4 5 59
2 3 4 5 6 60
with numbers from 1 to 6 is 5 , therefore the
6
sum of the two fractions made with 1, 2, 3, and 4
should be 5 . 1 and 2 cannot be used as the
6
denominators because the addition sentence will
not be true. Therefore, when 3 and 4 are used as
the denominators, it becomes 1 2 5 .
3 4 6
Answer Key
1 If the sum of numerators is not divisible by 7, 1 Since each number card should be used only
the result of the equation cannot be a natural
number. Therefore, the sum should be a once, the numerator and the denominator should
multiple of 7. each be a 3-digit number. Start by finding the
number in the hundreds place that is a multiple
1 2 4 of 4.
27 7 7
1 Then, the fraction is 4
1
3 5 6 2
7 7 7
Use the remaining cards 0, 2, 3, and 5 to make
The order of the numerators can be changed.
423
1 2 4 the fraction that is closest to 4: 105
7 7 7
3 3 5 6 15 2 When you put 1's together, the number that is
1 3 2 5 4 6 9 smaller than, but closest to, 234 is 111. Since
7 7 7 111 111 222, make two 111's and use the
remaining three 1's to make the equation 11 1 12.
The order of the whole numbers and numerators
can be changed. 111 111 11 1 234
Problem solving 3 When you put 7's together, the number that is
1 Since the sum of the numerators is a multiple of smaller than, but closest to, 245 is 77.
Since 77 3 231, make three 77's and use the
5, the numerators can be 1 and 4; or 2 and 3. remaining two 7's to make the equation 7 7 14.
When the numerators are 1 and 4, the natural
numbers are 2 and 3, and the result is 77 77 77 7 7 245
2 2 3 4 6. When the numerators are 2 and 3, 4 All the given numbers are proper fractions
5 5
smaller than 1. The product of two numbers will
the natural numbers are 1 and 4, and the result is be smaller than the original number, and the
quotient will be greater than the original
1 2 4 3 6. Therefore, the result of the equation number. Therefore, insert after and insert
5 5
before . The result increases when greater
is 6. numbers are added.
2 The greatest proper fraction that can be made 1 2 3 4 5 59
2 3 4 5 6 60
with numbers from 1 to 6 is 5 , therefore the
6
sum of the two fractions made with 1, 2, 3, and 4
should be 5 . 1 and 2 cannot be used as the
6
denominators because the addition sentence will
not be true. Therefore, when 3 and 4 are used as
the denominators, it becomes 1 2 5 .
3 4 6
Answer Key
