How do you simplify $1 + \frac{1}{4} + \frac{2}{3}$ $1+1/4+2/3$ ?

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Answer 1 · 2016-06-21T09:28:05

$1 + \frac{1}{4} + \frac{2}{3} = \frac{23}{12} = 1 \frac{11}{12}$ $1+1/4+2/3=23/12=1 11/12$

As GCD of the denominators $1$ $1$ , $3$ $3$ and $4$ $4$ is $12$ $12$ . Hence

$1 + \frac{1}{4} + \frac{2}{3}$ $1+1/4+2/3$

= $\frac{1}{1} + \frac{1}{4} + \frac{2}{3}$ $1/1+1/4+2/3$

= $\frac{1 \times 12}{1 \times 12} + \frac{1 \times 3}{4 \times 3} + \frac{2 \times 4}{3 \times 4}$ $(1xx12)/(1xx12)+(1xx3)/(4xx3)+(2xx4)/(3xx4)$

= $\frac{12}{12} + \frac{3}{12} + \frac{8}{12}$ $12/12+3/12+8/12$

= $\frac{12 + 3 + 8}{12} = \frac{23}{12}$ $(12+3+8)/12=23/12$

We can also write it as $1 + \frac{3}{12} + \frac{8}{12} = 1 + \frac{3 + 8}{12} = 1 \frac{11}{12}$ $1+3/12+8/12=1+(3+8)/12=1 11/12$

How do you simplify 1+14+231+1/4+2/3?