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Solve the equation.

(1)/(3)+a=(5)/(4)

a=

Solve the equation.\newline13+a=54 \frac{1}{3}+a=\frac{5}{4} \newlinea= a=

Full solution

Q. Solve the equation.\newline13+a=54 \frac{1}{3}+a=\frac{5}{4} \newlinea= a=
  1. Write Equation: Write down the equation.\newline13+a=54\frac{1}{3} + a = \frac{5}{4}\newlineWe need to isolate a'a' on one side of the equation.
  2. Isolate 'a': Subtract (13)(\frac{1}{3}) from both sides to isolate 'a'.\newlinea=(54)(13)a = \left(\frac{5}{4}\right) - \left(\frac{1}{3}\right)
  3. Subtract Fractions: Find a common denominator for the fractions to subtract them.\newlineThe common denominator for 44 and 33 is 1212.\newlinea=5×34×31×43×4a = \frac{5 \times 3}{4 \times 3} - \frac{1 \times 4}{3 \times 4}\newlinea=1512412a = \frac{15}{12} - \frac{4}{12}
  4. Simplify: Subtract the fractions.\newlinea = (1512)(412)(\frac{15}{12}) - (\frac{4}{12})\newlinea = (15412)(\frac{15 - 4}{12})\newlinea = 1112\frac{11}{12}

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