I have this on an assignment:
Estimate 16 20/30 x 28 3/7 - 4 13/25
+ 8 2/47 as a whole number or
as a mixed number where the
fractional part is 1/2.
A. 452
B. 480
C. 488
D. 492 1/2
I am trying to work this, and am
coming up with (D) 492 1/2.
Will you please see if I am right
and what you come up with?
Thank you so very much!
Your question should use parentheses to indicate the order of operations.
(a x b) - c is not the same as a x (b-c)
None of your choices are very close, if the multiplication comes first. Let's use decimals to show that.
16 20/30 = 16.667
28 3/7 = 28.429
4 13/25 = 4.520
8 2/47 = 8.043
(16.667 x 28.429) - 4.520 - 8.043 = 461.263
The choices of my answers are
452,480, 488, 492 1/2
Please help!!!
To solve the given expression, we need to follow the order of operations.
1. First, let's convert the mixed numbers to improper fractions:
16 20/30 = 16 + 20/30 = 16 + 2/3 = 50/3
28 3/7 = 28 + 3/7 = 217/7
4 13/25 = 4 + 13/25 = 113/25
8 2/47 = 8 + 2/47 = 382/47
So our expression becomes:
(50/3 x 217/7) - 113/25 - 382/47 + 8 2/47
2. Next, let's perform the multiplication:
(50/3 x 217/7) = (50 x 217) / (3 x 7) = 10850 / 21
Our expression now becomes:
(10850/21) - 113/25 - 382/47 + 8 2/47
3. Now, let's find the common denominator of the fractions:
The common denominator of 21, 25, and 47 is 21 x 25 x 47 = 24675.
So our expression becomes:
(10850/21) - (113/25 x 21/21) - (382/47 x 25/25) + (8 2/47 x 24675/24675)
4. Let's simplify the fractions:
(10850/21) - (113 x 21) / (25 x 21) - (382 x 25) / (47 x 25) + (8 x 24675 + 2 x 2475) / 24675
(10850/21) - (2373/525) - (9550/1175) + (206550/24675)
5. Combine the fractions:
[(10850 x 525) - (2373 x 21) - (9550 x 21) + (206550 x 10) + (206550 x 25)] / (21 x 525)
[(5696250 - 49833 - 200550 + 2065500 + 5163750)] / 11025
[(8922617)] / 11025
Now, let's determine if any of the given answer choices match our result:
A. 452
B. 480
C. 488
D. 492 1/2 (or 492.5)
By calculation, the result is approximately 810.135, which does not match any of the given answer choices. Therefore, there seems to be an error in your calculations. Please double-check your work and try again.