carlos biked $\frac{139}{8}$ miles on saturday and $\frac{135}{7}$ miles on sunday. on which day did he ride…
carlos biked $\frac{139}{8}$ miles on saturday and $\frac{135}{7}$ miles on sunday. on which day did he ride further and by how much?\ncarlos rode further on saturday by $1\frac{51}{56}$ miles.\ncarlos rode further on saturday by $3\frac{5}{56}$ miles.\ncarlos rode further on sunday by $3\frac{5}{56}$ miles.\ncarlos rode further on sunday by $1\frac{51}{56}$ miles.
Answer
Explanation:
Step1: Find a common denominator
The common - denominator of 8 and 7 is (8\times7 = 56).
Step2: Rewrite the fractions with the common denominator
(\frac{139}{8}=\frac{139\times7}{8\times7}=\frac{973}{56}), (\frac{135}{7}=\frac{135\times8}{7\times8}=\frac{1080}{56}).
Step3: Compare the fractions
Since (\frac{973}{56}<\frac{1080}{56}), Carlos rode further on Sunday.
Step4: Calculate the difference
(\frac{1080}{56}-\frac{973}{56}=\frac{1080 - 973}{56}=\frac{107}{56}=1\frac{51}{56}) miles.
Answer:
Carlos rode further on Sunday by (1\frac{51}{56}) miles.