Answer:
1/2 + 2/3 + 5/4 = 29/
12
= 2 5/ 12 ≅ 2.4166667
Step-by-step explanation:
Add: 1/
2 + 2/
3 = 1 · 3/
2 · 3 + 2 · 2/
3 · 2 = 3/
6 + 4/
6 = 3 + 4/
6 = 7/
6
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 3) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 3 = 6. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - one half plus two thirds = seven sixths.
Add: the result of step No. 1 + 5/
4 = 7/
6 + 5/
4 = 7 · 2/
6 · 2 + 5 · 3/
4 · 3 = 14/
12 + 15/
12 = 14 + 15/
12
= 29/
12
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(6, 4) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 4 = 24. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - seven sixths plus five quarters = twenty-nine twelfths.
<em>hope it helps...</em>
<em>correct me if I'm wrong...</em>
10 coins in nickels & dimes = $0.70
1 nickel = $0.05
1 dime = $0.10
4 dimes = $0.40
6 nickels = $0.30
4 dimes + 6 nickels = 10 coins
$0.40 + $0.30 = $0.70
The answer is: He has a total of 4 dimes in his pocket.
Take the linear coefients easy
11,-12, 7
5,12,-7
so
![\left[\begin{array}{ccc}11&-12&7\\5&12&-7\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D11%26-12%267%5C%5C5%2612%26-7%5Cend%7Barray%7D%5Cright%5D%20)
or you could do also
![\left[\begin{array}{ccc}11&-12\\5&12\end{array}\right] \left[\begin{array}{ccc}7\\-7\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D11%26-12%5C%5C5%2612%5Cend%7Barray%7D%5Cright%5D%20%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%5C%5C-7%5Cend%7Barray%7D%5Cright%5D%20)
Answer:
One is a question and the other is a prediction.
Step-by-step explanation:
A quantitative research is based on numbers and data.
A research hypothesis is a prediction or an explanation that will be proven right or wrong given the results found in the research. And the quantitative research question is a question that will define the porpuse and will guide what we want to get out of the investigation.
Thus, the characteristic that distinguishes them is:
One is a question and the other is a prediction.
Where the question is the quantitative research question and the prediction is the research hypothesis.
