Question

$\frac{1}{12} + \frac{5}{18} + \frac{7}{28}$
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Answer 1

Hello !!

For you answer this question, you only need make use of this method below. See the resolution.

$\mathsf{\dfrac{1}{12}+\dfrac{5}{18}+\dfrac{7}{28}} \\\\\\ \mathsf{=\dfrac{1}{12}+\dfrac{5}{18}+\dfrac{1}{4}} \\\\\\ \mathsf{=\dfrac{(18+60)}{216}+\dfrac{1}{4}} \\\\\\ \mathsf{=\dfrac{78}{216}+\dfrac{1}{4}} \\\\\\ \mathsf{=\dfrac{13}{36}+\dfrac{1}{4}} \\\\\\ \mathsf{=\dfrac{(52+36)}{144}} \\\\\\ \mathsf{=\dfrac{88}{144}} \\\\\\ \boxed{\bf\red{\mathsf{=\dfrac{11}{18}}}}$

Final result :

$\boxed{\bf\red{\mathsf{\dfrac{11}{18}}}}$

I hope I have collaborated !

Answer 2

$\frac{1}{12} + \frac{5}{18} + \frac{7}{28} \\ lcm = 252 \\ \frac{1}{12} \times \frac{21}{21} = \frac{21}{252} \\ \frac{5}{18} \times \frac{14}{14} = \frac{70}{252} \\ \frac{7}{28} \times \frac{9}{9} = \frac{63}{252} \\ \\ \frac{21}{252} + \frac{70}{252} + \frac{63}{252} \\ \\ = \frac{21 + 70 + 63}{252} = \frac{154}{252} \\ \\ \\ \\ \\ you \: can \: cut \: it \: into \: its \: least \: form \: \:$

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