I was to find the sum or difference of each problem: A) 15.6 + 8.305 + 0.4=
24.305 B) 14/3 - 16/5= 20/15 - 18/15=
2/15 C) 20.096 - 42.3 = -22.204
D) -3 1/8 + 4 5/6 = -25/8 + 29/6=
-150/48 + 232/48= 82/48. Is this correct?
It depends whether or not one considers significant digits. If not, then yes correct.
yes
Let's evaluate each problem step-by-step:
A) 15.6 + 8.305 + 0.4:
First, add the decimal numbers: 15.6 + 8.305 = 23.905.
Now, add the result to the whole number: 23.905 + 0.4 = 24.305.
The sum of the numbers is 24.305.
B) 14/3 - 16/5:
We need to find a common denominator for the fractions. The least common multiple of 3 and 5 is 15.
Now, rewrite the fractions with the common denominator: 14/3 = 70/15 and 16/5 = 48/15.
Subtract the fractions: 70/15 - 48/15 = (70 - 48)/15 = 22/15.
The difference of the fractions is 22/15.
C) 20.096 - 42.3:
Subtract the decimal numbers: 20.096 - 42.3 = -22.204.
The difference of the numbers is -22.204.
D) -3 1/8 + 4 5/6:
To add mixed numbers, first convert them to improper fractions.
-3 1/8 = -25/8 and 4 5/6 = 29/6.
Next, find a common denominator for the fractions. The least common multiple of 8 and 6 is 48.
Rewrite the fractions with the common denominator: -25/8 = -300/48 and 29/6 = 232/48.
Now, add the fractions: -300/48 + 232/48 = ( -300 + 232 ) / 48 = -68/48.
Simplify the fraction: -68/48 = -17/12.
The sum of the mixed numbers is -17/12, which can be further simplified if necessary.
So, the answer for D) is -17/12, not 82/48.
To calculate the sum or difference of the given problems, let's break them down step by step:
A) 15.6 + 8.305 + 0.4:
Simply add the numbers together:
15.6 + 8.305 + 0.4 = 24.305
B) 14/3 - 16/5:
To subtract fractions, find a common denominator. In this case, the common denominator is 15:
14/3 = 70/15 and 16/5 = 48/15
Now you can subtract the fractions:
70/15 - 48/15 = (70 - 48) / 15 = 22/15
Simplifying, the answer is 22/15, which can also be written as 1 7/15.
C) 20.096 - 42.3:
Simply subtract the numbers:
20.096 - 42.3 = -22.204
D) -3 1/8 + 4 5/6:
To add mixed numbers, start by converting them to improper fractions:
-3 1/8 = -25/8 and 4 5/6 = 29/6
Now add the fractions:
-25/8 + 29/6 = (-150/48) + (232/48) = 82/48
Simplifying, the answer is 82/48, which can also be written as 41/24.
So, the correct answers are:
A) 24.305
B) 1 7/15
C) -22.204
D) 41/24 or 82/48