Fraction is a way to describe a part of a whole. The time taken by Cindy in the relay race is [tex]3\frac{4}{10}[/tex] minutes.
What is a Fraction?
A fraction is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25
What is a Mixed Fraction?
A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator.
We know that the total time taken by the team is was 11 & 3/5 minutes. therefore, we can write,
Total Time = Barbara's Time + Donna 's Time + Cindy 's Time + Nicole's Time
[tex]\rm 11\frac{3}{5} = 3\frac{3}{10} +2\frac{4}{5}+Cindy 's\ Time}+2\frac{1}{10}\\\\\text{Cindy 's\ Time}= 11\frac{3}{5} - (3\frac{3}{10} +2\frac{4}{5}+2\frac{1}{10})\\\\\text{Cindy 's\ Time}= 11\frac{3}{5} - 3\frac{3}{10} -2\frac{4}{5}-2\frac{1}{10}[/tex]
Simplify the whole number together and fraction together,
[tex]\text{Cindy 's\ Time}= (11-3-2-2)+(\dfrac{3}{5}-\dfrac{3}{10} -\dfrac{4}{5}-\dfrac{1}{10})\\\text{Cindy 's\ Time}= (4)+(\dfrac{3\times 2}{5 \times 2}-\dfrac{3}{10} -\dfrac{4\times 2}{5\times 2}-\dfrac{1}{10})\\\\\text{Cindy 's\ Time}= 4+(\dfrac{6}{10}-\dfrac{3}{10} -\dfrac{8}{10}-\dfrac{1}{10})\\\\\text{Cindy 's\ Time}= 4-\dfrac{6}{10}\\\\[/tex]
[tex]\text{Cindy 's\ Time}= \dfrac{4 \times 10}{1 \times 10}-\dfrac{6}{10}\\\\\text{Cindy 's\ Time}= \dfrac{40}{10}-\dfrac{6}{10}\\\\\text{Cindy 's\ Time}= \dfrac{34 }{10} = 3\frac{4}{10}\\\\\text{Cindy 's\ Time}= \dfrac{4 \times 10}{1 \times 10}-\dfrac{6}{10}\\\\\text{Cindy 's\ Time}= \dfrac{40}{10}-\dfrac{6}{10}\\\\\text{Cindy 's\ Time}= \dfrac{34 }{10} = 3\frac{4}{10}[/tex]
Hence, the time taken by Cindy in the relay race is [tex]3\frac{4}{10}[/tex] minutes.
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