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A man spends 1/3 of his salary on accommodation and the rest of his salary 2/5 on food.what fraction is left for other purposes?
Explain your answer please
Explain your answer please
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Math Question
- Thread starter Toomuch1995
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He spends 1/3 on accommodation, so he has 3/3 - 1/3 = 2/3 left over.
Of that remaining 2/3, he spends 2/5 on food. To figure out how much 2/5 of 2/3 is, you multiply them. 2/5 of 2/3 = 2/5 x 2/3
To multiply fractions, simply multiply the denominators and numerators of the respective numbers. 2/5 x 2/3 = 4/15 So he spent an additional 4/15 of his total salary on food.
To find out how much he has left subtract 2/3 - 4/15.
But wait, the denominators don't match! Simply multiply 2/3 by 5/5 to get 15 as adenominator. This is the same essentially multiplying by 1, which does not change the value of the number. 2/3 x 5/5 = 10/15
Now we can subtract 10/15 - 4/15 = 6/15 Since both numerator and denominator are factors of 3, you can divide both by 3 to simplify the fraction 6/15 = 2/5 After food and accommodations, he has 2/5 of his initial salary.
Of that remaining 2/3, he spends 2/5 on food. To figure out how much 2/5 of 2/3 is, you multiply them. 2/5 of 2/3 = 2/5 x 2/3
To multiply fractions, simply multiply the denominators and numerators of the respective numbers. 2/5 x 2/3 = 4/15 So he spent an additional 4/15 of his total salary on food.
To find out how much he has left subtract 2/3 - 4/15.
But wait, the denominators don't match! Simply multiply 2/3 by 5/5 to get 15 as adenominator. This is the same essentially multiplying by 1, which does not change the value of the number. 2/3 x 5/5 = 10/15
Now we can subtract 10/15 - 4/15 = 6/15 Since both numerator and denominator are factors of 3, you can divide both by 3 to simplify the fraction 6/15 = 2/5 After food and accommodations, he has 2/5 of his initial salary.