Final answer:
To simplify 3 whole 1/6 + 1 whole 1/4 - 2 whole 2/5, convert the mixed numbers to improper fractions and find a common denominator. Add/subtract the fractions by finding a common denominator. Simplify the resulting fraction.
Step-by-step explanation:
To simplify the expression 3 whole 1/6 + 1 whole 1/4 - 2 whole 2/5, we need to convert the mixed numbers into improper fractions and find a common denominator.
1 whole 1/6 is equal to 7/6 and 1 whole 1/4 is equal to 5/4. 2 whole 2/5 is equal to 12/5.
Now, we can add/subtract the fractions by first finding a common denominator, which in this case is 20.
So, 7/6 + 5/4 - 12/5 is equal to (35/30) + (25/20) - (48/20).
Combining the fractions gives us (35/30) + (25/20) - (48/20) = 35/30 + 25/20 - 48/20.
Next, we need to find a common denominator of 30 and 20, which is 60.
Converting the fractions gives us (35/30) + (25/20) - (48/20) = (35/30 * 2/2) + (25/20 * 3/3) - (48/20).
Simplifying further, we get (70/60) + (75/60) - (48/20) = 145/60 - 48/20.
Now, we can subtract the fractions: 145/60 - 48/20 = (145/60 * 5/5) - (48/20 * 3/3) = 725/300 - 144/60.
Finally, simplifying further, we have 725/300 - 144/60 = 725/300 - 240/100 = 725/300 - 720/300 = 5/300 = 1/60.