Question

1. patrick drank \\(\frac{3}{4}\\) liter of water monday before jogging. he drank \\(\frac{4}{5}\\) liter of water after his jog. how much water did patrick drink altogether? write your answer as a mixed number.

Explanation:

Step1: Find a common denominator

To add \(\frac{3}{4}\) and \(\frac{4}{5}\), we need a common denominator. The least common denominator of 4 and 5 is 20. Convert the fractions: \(\frac{3}{4}=\frac{3\times5}{4\times5}=\frac{15}{20}\) and \(\frac{4}{5}=\frac{4\times4}{5\times4}=\frac{16}{20}\).

Step2: Add the fractions

Now add the two fractions: \(\frac{15}{20}+\frac{16}{20}=\frac{15 + 16}{20}=\frac{31}{20}\).

Step3: Convert to a mixed number

Divide 31 by 20. \(31\div20 = 1\) with a remainder of 11. So \(\frac{31}{20}=1\frac{11}{20}\).

Answer:

\(1\frac{11}{20}\)