Answer:
<u>5/8</u>
Step-by-step explanation:
So, let's do the first one first.
You want to make the fraction have the same denominator (bottom number). So, in this case, we have 3/8 and 3/4. If we want them to have the same bottom number, we keep 3/8 how it is, and multiply 2/2 by the 3/4 to get 6/8. So, now we have 3/8 + 6/8. 3/8 + 6/8 = 9/8.
Now, we have 1/3 + 1/6. So, we are going to do the same thing, keep the 1/6, and multiply 1/3 by 2/2, so that the bottom number is equal to the other fraction's bottom number. So, 1/3 x 2/2 = 2/6. Now, we have the equation 2/6 + 1/6. 2/6 + 1/6 = 3/6.
Now, we have this final equation: 9/8 - 3/6. So, now we need to find the denominator that both of them can deal with. So, in this case, we can do 24.
9/8 x 3/3 = 27/24
3/6 x 4/4 = 12/24
Now, we subtract:
27/24
- 12/24
_______
15/24.
Now, we simplify.
15 divided by 3 = 5.
24 divided by 3 = 8
So, <u>5/8</u> is our final answer.
The solution of is
<em><u>Solution:</u></em>
Given that we have to find the solution of
To solve the given sum, first make the denominators of both the fractions same
This can be done by taking L.C.M of both denominators
<em><u>Step 1:</u></em>
L.C.M of 4 and 7:
The prime factor of 4 = 2 x 2
The prime factor of 7 = 7
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 7
Multiply these factors together to find the LCM
LCM = 2 x 2 x 7 = 28
Thus L.C.M of denominators is 28
<em><u>Step 2:</u></em>
Solution of
Multiply the denominator by a number to get 28 and multiply that same number with numerator also
Thus solution of is
Answer:
Depth = 7.06 m
Velocity = 11.77 ms-1
Step-by-step explanation:
We use the equation of motion:-
s = ut + 1/2 g where s = distance fallen , t = time , u = initial velocity and g = 9.81 ms^-2 , the acceleration due to gravity.
So s = 0(t) + 1/2 * 9.81 (1.2)^2
= 7.06 m to nearest tenth.
We use another equation of motion to find the final velocity:-
v^2 = u^2 + 2gs where v = final velocity
v^2 = 0 + 2*9.81 * 7.06
= 138.52
v = √138.52 = 11.77 m s-1