Question

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?

Answer 1

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

Further Explanation

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

Answer 2

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 =$\frac{8+12+3}{24} =\frac{23}{24}$

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