Question

Using MATLAB: 22/7 is a commonly used fraction that estimates pi. Unfortunately it is not very

accurate. Using a maximum of three digits in the numerator and denominator, find

the fraction that is the closest approximation to pi. Have the computer output the

numerator, denominator, and the true percent error

Answer 1

`Hey,

Note: Brother in case of any queries, just comment in box I would be very happy to assist all your queries

clear, clc
num=1;
den=1;
min=10;
for i=1:1000
for j=1:1000
if(abs(i/j-pi)<min)
min=abs(i/j-pi);
num=i;
den=j;
end
end
end
fprintf('Fraction is %d/%d, true percent error=%.4e\n',num,den,abs(num/den-pi)/pi*100)

MATLAB R2018a Search Documentation Log In НOME PLOTS APPS EDITOR PUBLISH VEW Insert fx Find Files Run Section Go To Compare Comment% Run and Advance New Open Sav Breakpoints Rur Run and Indent Print Find Advance Lime EIL NAVIGATE EDIT BREAKPOINTS BUN C:Users PRADEEP KALRA Documents MATLAB Editor - C:Users PRADEEP KALRA Documents\MATLAB saveee.m Current Folder x qauss seidel.m falsepos.m Name saveee.m trapezoid.m SimpsonComp.m eulerSystem.m mathlab - for 1-1:1000 mynewdir 7- if (abs (1/j-pi) <min) min-abs (1/1-pi) num-i New folder a1.m a2.m en-1; 11- nd 12- end a5.m A1.dat A1.mat 13 end rprintrFraction is d/kd, true percent error-t.4e\n',num, den, abs (num/den-pi)/pi 100) 14- Command Window New to MATLAB? See resources for Getting Started, A3 dat A4.dat Fraction is 355/113, true percent error-8.4914e-06 AS.dat f> Details Workspace Name Value den 13 1000 1000 6676e-07 num 355 III-4 usages of "j" found script In 14 Col 75 6:51 AM ENG O Type here to search 06/10/19

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Thanks.