On Wednesday evening Sonto spent \( \frac{1}{2} \) hour doing homework, 45 minutes doing housework, 1 hour visiting friends and \( 1 \frac{1}{2} \) hours watching televisior Write this information as a ratio.

To find the total time Sonto spent on each activity, first convert all the times to hours: - Homework: \( \frac{1}{2} \) hour - Housework: \( 45 \) minutes = \( \frac{3}{4} \) hour - Visiting friends: \( 1 \) hour - Watching television: \( 1 \frac{1}{2} \) hours = \( \frac{3}{2} \) hours Now combine these times: Total time = \( \frac{1}{2} + \frac{3}{4} + 1 + \frac{3}{2} \) To add these fractions, convert them to have a common denominator, which is 4: - \( \frac{1}{2} = \frac{2}{4} \) - \( \frac{3}{4} = \frac{3}{4} \) - \( 1 = \frac{4}{4} \) - \( \frac{3}{2} = \frac{6}{4} \) Now, add them together: Total time = \( \frac{2}{4} + \frac{3}{4} + \frac{4}{4} + \frac{6}{4} = \frac{15}{4} \) hours. Now, we can express the times as a ratio. The amounts of time spent on each activity, converted to a common fraction form are: - Homework: \( \frac{1}{2} = \frac{2}{4} \) - Housework: \( \frac{3}{4} \) - Visiting friends: \( 1 = \frac{4}{4} \) - Watching television: \( \frac{3}{2} = \frac{6}{4} \) Now put it all together as a ratio: Homework : Housework : Visiting friends : Watching television = \( \frac{2}{4} : \frac{3}{4} : \frac{4}{4} : \frac{6}{4} \) To simplify, we can multiply each ratio component by 4 to get rid of the denominators: 2 : 3 : 4 : 6 Therefore, the ratio is 2 : 3 : 4 : 6.