1 - 3/8 - 1/3 = 24/24 - 9/24 - 8/24 = 7/24
Answer: 7/24
In a hundredths grid - square
In a hundredths grid, there are 10 blocks in each column. 10/100 = 10%. So one column is equal to 10%.
In a tenths grid- square
In a tenths grid, there is one block in each column. So 1/10 blocks = 10%.
10/100 can simplify into 1/10. This is why both grids are equal. They are both equivalent fractions. Both grids have columns that equal 10%.
Answer: Choice B) 
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Work Shown:
This shows why choice B is the answer.
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Explanation:
- In the second step, I multiplied top and bottom by
- This is so we can apply the difference of squares rule in step 3. The difference of squares rule is (x-y)(x+y) = x^2-y^2.
- In step 4, the square roots cancel out with the squaring operation. The two operations are inverses of one another, which is why they cancel.
So in general, if the denominator is 
and you want to rationalize the denominator, then you should multiply top and bottom by 
. The same applies in reverse as well.
This leads to the denominator becoming 
Keep in mind that 
and 
Answer:
a) 375
b) 7062.75 mm²
Step-by-step explanation:
b) We need to find the shortest possible width and length to get the smallest possible area.
To get the boundaries for 19.4, we go on to the next significant figure (the hundredths) and ± 5 of them.
The boundaries are, therefore: 19.35 - 19.45
As for the length, we can see they've added 5 units as the measurement is correct to 2 sig' figures, which is the tens.
And so, if we do as we did before, we go to the next sig' figure (the units) and ± 5 of them, we get the boundaries to be 365 - 375.
Now, we just multiply the lower bounds of the length and width to get the minimal/lower-bound area:
365 * 19.35 = 7062.75 mm²
