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Solve the equation.

(3)/(4)=m+(1)/(4)

m=

Solve the equation.\newline34=m+14 \frac{3}{4}=m+\frac{1}{4} \newlinem= m=

Full solution

Q. Solve the equation.\newline34=m+14 \frac{3}{4}=m+\frac{1}{4} \newlinem= m=
  1. Identify equation and solve: Identify the equation and what needs to be solved.\newlineWe have the equation (34)=m+(14)(\frac{3}{4}) = m + (\frac{1}{4}) and we need to find the value of mm.
  2. Isolate variable m: Isolate the variable mm on one side of the equation.\newlineTo do this, we will subtract 14\frac{1}{4} from both sides of the equation to get mm by itself.\newline3414=m+1414\frac{3}{4} - \frac{1}{4} = m + \frac{1}{4} - \frac{1}{4}
  3. Perform subtraction: Perform the subtraction on both sides.\newline(34)(14)=m(\frac{3}{4}) - (\frac{1}{4}) = m\newlineThis simplifies to:\newline(24)=m(\frac{2}{4}) = m
  4. Simplify fraction: Simplify the fraction on the left side of the equation.\newline(24)(\frac{2}{4}) can be simplified to (12)(\frac{1}{2}) because 22 is a common factor of both the numerator and the denominator.\newline(12)=m(\frac{1}{2}) = m

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