Question

simplify 12/4 + 15/4 - 13/2​

Answer 1

12+15/4-13/2

=27/4-13/2

=27-26/4

=1/4

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Answer 2

$\underline{\underline{\textsf{\maltese\:\: Question :}}}$

Simplify $\displaystyle \frac {12}{4} + \frac {15}{4} - \frac{13}{2}$

$\underline{\underline{\textsf{\maltese\:\: Solution :}}}$

At first we need to find the LCM (Lowest Common Multiple) of 4 , 4 and 2. In other words we need to find the LCM (Lowest Common Multiple) of the denominators.

$\begin{array}{r | l}2 & 4 \quad 4 \quad 2 \\ \cline{2-2} 2 & 2 \quad 2 \quad 1 \\ \cline{2-2} & 1 \quad 1 \quad 1 \\\end{array}$

LCM (Lowest Common Multiple) = 2 × 2 = 4

$\dfrac {12}{4} + \dfrac {15}{4} - \dfrac{13}{2}$

$= \dfrac{(1 \: * \: 12) \; +\; (1 \: * \: 15)\; - \; (2 \: * \: 13)}{4}$

$= \dfrac{12\; + \; 15 \; - \; 26}{4}$

$= \dfrac{27\; - \; 26}{4}$

$= \dfrac{1}{4}$

∴ $\star \; \boxed{\bold{\dfrac {12}{4} + \dfrac {15}{4} - \dfrac{13}{2} = \dfrac{1}{4}}} \; \star$