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>
Answer: 0.28
Step-by-step explanation:
Binomial probability formula :
, where x = Number of success , n= sample size , p= probability of success for each trial.
Let x = Number of hens lay eggs.
then, p= 0.80
n= 12
For x=10

Hence, the required probability = 0.28
Hey there!
Question #1.
36% of 400
= 36% * 400
= 36/100 * 400/1
= 36 ÷ 2 / 100 ÷ 2 * 400/1
= 18/50 * 400/1
= 18 ÷ 2 / 50 ÷ 2 * 400/1
= 9 / 25 * 400/1
= 9(400) / 25(1)
= 3,600 / 25
= 3,600 ÷ 25
= 144
Therefore, the answer should be: 144
Question #2.
16% of 32
= 16% * 32
= 16/100 * 32/1
= 16 ÷ 2 / 100 ÷ 2 * 32/1
= 8 / 50 * 32/1
= 8 ÷ 2 / 50 ÷ 2 * 32/1
= 4 / 25 * 32/1
= 4(32) / 25(1)
= 128 / 25
≈ 5.12
≈ 5 3/25
Therefore, the answer should be:
• 128/25
• 5.12
• 5 3/25
(Either of those should work because they are equivalent or equal to each other!)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Well, units divide and multiply just like numbers. That's why Area is in units of distance squared (cm × cm = cm²) and volume is cubic distance (m × m × m = m³).
Likewise other mathematical operations can be performed on them, including division where they can cancel out of the equation.
For instance, a rate, speed, slope or conversion factor is usually one unit divided by another unit. Like so...
speed = 5 meters per second

If you are given a distance traveled, let's say 100 meters and asked to solve for time it takes to get there. You would divide by the speed so that meters cancel leaving only time.
** Of course to divide by a fraction is to flip and multiply so really you're just multiplying by it, making sure the same units are diagonal and cancel out like so:

Hope this helps!
Answer:
x = 2 * (y/5) feets
Step-by-step explanation:
Given that :
Actual dimension of mural = 15 feet by 8 feet
Scale drawing = 2 feet : 5 feet
2 feets on the scale drawing represents 5 feets of the actual drawing.
Drawing length (x)
Actual mural length (y)
x = 2 * (y/5) feets
Hence, dimension of scale drawing:
x = 2 * (15/5) ; x = 2 * (8/5)
x = 6 feets ; 3.2 feets