if students multiplied by 7/12 instead if 11/16. find the % error in the calculation
Answers
Step-by-step explanation:
% of error = |actual-error| /actual ×100
actual-error = 11/16 - 7/12 = 33-28/48 = 5/48
%of error = 5/48 ÷ 11/16 ×100 = 5/48 × 16/11 ×100
= 5/33 ×100 = 15.15%
The percentage of error in calculation will be 15.15%
GIVEN: The students multiplied by 7/12 instead of 11/16.
TO FIND % error in the calculation.
SOLUTION;
As we are given in the question,
The students multiplied 7/12 instead of 11/16
That means,
When it was supposed to be 11/16 they by a mistake and took it to be 7/12.
As we already know,
% of error = |actual error| /actual ×100
Actual error = 11/16 - 7/12
Actual error = 33-28/48
Actual error = 5/48
Therefore,
% of error = 5/48 ÷ 11/16 ×100
% of error = 5/48 × 16/11 ×100
% of error = 5/33 ×100
% of error = 15.15%
Therefore,
The percentage of an error made by students will be 15.15%
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