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?
Accepted Solution
A:
As per the problemJing spent [tex] \frac{1}{3} [/tex] of her money on a pack of pens. [tex] \frac{1}{2} [/tex] of her money on a pack of markers.and [tex] \frac{1}{8} [/tex] of her money on a pack of pencils.Total fraction of money spent cab be given as belowFraction of Money Spent =[tex] \frac{1}{3} +\frac{1}{2}+\frac{1}{8} [/tex]Take the LCD of denominator, we get LCD of (3,2,8)=24Fraction of Money Spent =[tex] \frac{8+12+3}{24} =\frac{23}{24} \\
[/tex][tex] \\ \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} [/tex]