$\displaystyle m - \frac{2}{3} = \frac{5}{6} + \frac{1}{2}$
Solving for m: Equation with Fractions
The problem requires finding the value of '$m$' in the given algebraic equation:
$ m - \frac{2}{3} = \frac{5}{6} + \frac{1}{2} $
Step 1: Simplify the Right-Hand Side (RHS)
First, calculate the sum of the fractions on the right side of the equation. Find a common denominator for $\frac{5}{6}$ and $\frac{1}{2}$, which is 6.
- Convert $\frac{1}{2}$ to an equivalent fraction with a denominator of 6: $ \frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6} $
- Add the fractions: $ \frac{5}{6} + \frac{3}{6} = \frac{5+3}{6} = \frac{8}{6} $
- Simplify the resulting fraction: $ \frac{8}{6} = \frac{8 \div 2}{6 \div 2} = \frac{4}{3} $
The equation now becomes:
$ m - \frac{2}{3} = \frac{4}{3} $
Step 2: Isolate m
To find the value of '$m$', add $\frac{2}{3}$ to both sides of the equation:
$ m = \frac{4}{3} + \frac{2}{3} $
Step 3: Calculate the Final Value of m
Add the fractions on the right side:
$ m = \frac{4+2}{3} = \frac{6}{3} $
Simplify the result:
$ m = 2 $
Therefore, the value of '$m$' is 2.
Important Questions from Quick Math
A is 120% of B and B is 65% of C. If the sum of A, B and C is 121.5, then the value of C - 2B + A is:
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