Math, asked by mukokoryan88, 9 months ago

a man spent 2/5 of his salary on food ,1/4 on clothing ,1/6 on other expenses and saved the rest .What fraction of his salary did he save

Answers

Answered by ghemanth73
6

Answer:

so yes

Step-by-step explanation:

fraction means part of the whole

so sum of all fraction must be whole or 1/1

so 2/5+1/4+1/6+x = salary

as denominators aren't same take LCM

so lcm of 5,4,6=60

2/5*12/12=24/60

1/4*15/15=15/60

1/6*10/10=10/60

so

24+15+10

__________

60

(49/60)+x = 60/60=1

11/60

so his savings is 11/60

Answered by EuphoricEpitome
4

Answer:

\huge\underline\mathbb\pink{Answer}.Part \:of \: salary\:spent \:on \:food=  \frac{2}{5}\\ \\ \\spent\:on\:clothing=  \frac{1}{4}\\ \\ \\spent\:on\:other\:expenses=  \frac{1}{6}\\ \\ \\Total\:part\:of \:salary\:spent = \\ \\ \\\frac{2}{5}+ \frac{1}{4}+ \frac{1}{6}\\ \\ \\lcm \: of \:5,4,6 = 60\\ \\ \\\frac{2}{5}= \frac{24}{60}\\ \\ \\\frac{1}{4}= \frac{15}{60}\\ \\ \\\frac{1}{6}= \frac{10}{60}\\ \\ \\= \frac{24}{60}+ \frac{15}{60} + \frac{10}{60}\\ \\ \\= \frac{(24+15+10)}{60}\\ \\ \\= \frac{49}{60}\\ \\ \\Salary\:left= (total \:salary) - (part\:of \:salary\:used)\\ \\ \\(something\:whole\: is\: 1)\\ \\ \\= 1 - \frac{49}{60}\\ \\ \\= \frac{60}{60} - \frac{49}{60}\\ \\ \\= \frac{(60-49)}{60}\\ \\ \\= \frac{11}{60}\: (Answer)

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