1. 15,187 + 4,106 = [19,293]
Solution:
15,187
+ 4,106
19,293
2. \frac{3}{7} + \frac{1}{5} = \frac{4}{12}
Solution:
\frac{3}{7} + \frac{1}{5} = \frac{3+1}{7+5} = \frac{4}{12}
3. (-256.7) + 87.23 =
Solution:
4. (-1,250) + (-3,788) = -5,038
Solution:
1,250
+ 3,788
-5,038
5. 200,000 - 4,873 = [195,127]
Solution:
200,000
- 4,873
195,127
6. (\frac{2}{9}) - \frac{1}{3} = \frac{1}{3}
Solution:
\frac{2-1}{9-3} = \frac{1}{3}
Answer (2)
Let's go through each part of the question carefully:
The sum of 15,187 and 4,106:
15 , 187 + 4 , 106 = 19 , 293
This solution is correct. Simply add the two numbers to get 19,293.
Addition of fractions 7 3 + 5 1 :
To add these fractions, first find a common denominator. The least common multiple of 7 and 5 is 35. Convert each fraction:
7 3 = 7 × 5 3 × 5 = 35 15 , 5 1 = 5 × 7 1 × 7 = 35 7
Adding these gives:
35 15 + 35 7 = 35 22
Note: The fraction 12 4 as listed in the solution is not correct as presented.
The sum of − 256.7 + 87.23 :
First, align the decimals and subtract:
− 256.7 + 87.23 = − 169.47
This involves recognizing the relative difference since one number is negative.
The sum of − 1 , 250 + ( − 3 , 788 ) :
When adding two negative numbers, the result is more negative.
− 1 , 250 + ( − 3 , 788 ) = − 5 , 038
This solution is correctly shown.
The difference of 200,000 and 4,873:
200 , 000 − 4 , 873 = 195 , 127
Subtract the smaller number directly from the larger one. The given result is correct.
The difference of fractions 9 2 − 3 1 :
To subtract, use a common denominator. The least common multiple of 9 and 3 is 9.
9 2 , 3 1 = 3 × 3 1 × 3 = 9 3
9 2 − 9 3 = − 9 1
Thus, the answer 3 1 as shown is incorrect.
The calculations show the correct results for most operations, except for the addition of fractions and the subtraction of fractions, which have inaccuracies in their answers. Specifically, the correct results should involve common denominators. The other arithmetic operations are presented accurately.
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