Answer:
Gwen has run the race of [tex]\frac{5}{24}[/tex] since she saw her family.
Step-by-step explanation:
To Determine:
How much of the race has Gwen run since she saw her family?
Information Fetching and Solution Steps:
As
As Gwen has completed the 7/8 of the race. And when she saw her family she was 2/3 of the way done.
So, just subtract 2/3 from 7/8 to compute the race has Gwen run since she saw her family.
[tex]\frac{7}{8}-\frac{2}{3}[/tex]
[tex]\mathrm{Least\:Common\:Multiplier\:of\:}8,\:3:\quad 24[/tex]
[tex]\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}[/tex]
[tex]=\frac{21}{24}-\frac{16}{24}[/tex] [tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{21-16}{24}[/tex]
[tex]=\frac{5}{24}[/tex]
Therefore, Gwen has run the race of [tex]\frac{5}{24}[/tex] since she saw her family.
Keywords: fraction, ratio
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