Answer:
Lola was in lead for [tex]\frac{6}{25}[/tex] of a mile.
Step-by-step explanation:
We have been given that Lola and Brandon had a running race. They ran 3/10 of a mile. Lola was in the lead for 4/5 of the distance.
To find the fraction of a mile for which Lola was in the lead, we need to find 4/5 of 3/10 as:
[tex]\text{Fraction for which Lola was in lead}=\frac{3}{10}\times\frac{4}{5}[/tex]
[tex]\text{Fraction for which Lola was in lead}=\frac{3}{5}\times\frac{2}{5}[/tex]
[tex]\text{Fraction for which Lola was in lead}=\frac{3\times2}{5\times5}[/tex]
[tex]\text{Fraction for which Lola was in lead}=\frac{6}{25}[/tex]
Therefore, Lola was in lead for [tex]\frac{6}{25}[/tex] of a mile.
