Final answer:
To find how much time Henry and Yoshi worked together, add the times they worked individually and simplify the fraction.
Step-by-step explanation:
To find how much time Henry and Yoshi worked together, we need to add the times they worked individually. Henry worked (1)/(4) hour and Yoshi worked (1)/(2) hours. To add these times, we need to find a common denominator for the fractions. The common denominator of 4 and 2 is 4. So, we can rewrite (1)/(4) as (2)/(8) and (1)/(2) as (4)/(8). Now, we can add the two fractions together: (2)/(8) + (4)/(8) = (6)/(8). So, Henry and Yoshi worked together for (6)/(8) hour. We can simplify this fraction by dividing the numerator and denominator by 2, which gives us (3)/(4) hour. Therefore, Henry and Yoshi worked together for (3)/(4) hour.