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Nataliya [291]
3 years ago
7

Jing spent 1/3 of her money on a pack of pens, 1/2 of her money on a pack of markers, and 1/8 of her money on a pack of pencils.

What fraction of her money is left?
Mathematics
2 answers:
madreJ [45]3 years ago
5 0

The fraction of the amount of money that Jing had left is \frac{1}{24}

  • The fraction of the amount of money Jing spent on the pack of pens = \frac{1}{3}
  • The fraction of the amount of money she spent on a pack of marker = \frac{1}{2}
  • The fraction of the amount of money she spent on a pack of pencils = \frac{1}{8}
  • The fraction of the money left = 1
<h2>Further Explanation</h2>

One way to determine the total fraction of the amount of money she spent  = the fraction of the money left - the fraction of the amount she spent on pack of pens + fraction of the amount spent on marker + fraction of the money she spent on pencils

Firstly, without the fraction of the money left, we have:

= \frac{1}{3} + \frac{1}{2} + \frac{1}{8}

= \frac{8}{24} + \frac{12}{24} + \frac{3}{24}, it also the same as

= (8+12+3) / 24 (24 is the lowest common denominator)

= \frac{23}{24}

Since the fraction of the money left = 1

Therefore we have:

= 1 – \frac{23}{24}

= (24 x 1) – (23 x 1) / 24 (24 is the smallest number that can divide the denominators)

Therefore we have:

= 24 – 23 / 24

= \frac{1}{24}.

Therefore the fraction of the amount that Jing has left is \frac{1}{24}.

Notably, we solve this question using the BODMAS rule.

LEARN MORE:

  • Numbers: brainly.com/question/2906770
  • fraction brainly.com/question/6201432
  • What does BODMAS stand for brainly.com/question/9352422

KEYWORDS:

  • bodmas rule
  • denominator
  • numerator
  • jing
  • fraction
Reika [66]3 years ago
3 0

As per the problem

Jing spent \frac{1}{3} of her money on a pack of pens.

\frac{1}{2} of her money on a pack of markers.

and \frac{1}{8} of her money on a pack of pencils.

Total fraction of money spent cab be given as below

Fraction of Money Spent =\frac{1}{3} +\frac{1}{2}+\frac{1}{8}

Take the LCD of denominator, we get LCD of (3,2,8)=24

Fraction of Money Spent =\frac{8+12+3}{24} =\frac{23}{24} \\\\

\\ \text{Hence fraction of Money Spent }=\frac{23}{24} \\ \\ \text{Fraction of Money left}=1-\frac{23}{24} \\ \\ \text{Simplify, we get}\\ \\ \text{Fraction of Money left}=\frac{24-23}{24} \\  \\ \text{Fraction of Money left}=\frac{1}{24}

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