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\frac{1}{4}+\frac{9}{16}+\frac{3}{16}+x=1
Reduce the fraction \frac{4}{16} to lowest terms by extracting and canceling out 4.
\frac{4}{16}+\frac{9}{16}+\frac{3}{16}+x=1
Least common multiple of 4 and 16 is 16. Convert \frac{1}{4} and \frac{9}{16} to fractions with denominator 16.
\frac{4+9}{16}+\frac{3}{16}+x=1
Since \frac{4}{16} and \frac{9}{16} have the same denominator, add them by adding their numerators.
\frac{13}{16}+\frac{3}{16}+x=1
Add 4 and 9 to get 13.
\frac{13+3}{16}+x=1
Since \frac{13}{16} and \frac{3}{16} have the same denominator, add them by adding their numerators.
\frac{16}{16}+x=1
Add 13 and 3 to get 16.
1+x=1
Divide 16 by 16 to get 1.
x=1-1
Subtract 1 from both sides.
x=0
Subtract 1 from 1 to get 0.