Evaluate 2/5 of 2 2/5_2 3/10

3/5÷4 ½+1 3/5

1 answer

To evaluate the following expressions:

1) 2/5 of 2 2/5
First convert 2 2/5 to an improper fraction: (5*2 + 2)/5 = 12/5
Now, multiply 2/5 by 12/5:
(2/5) * (12/5) = 24/25

2) 2 3/10
First convert 2 3/10 to an improper fraction: (10*2 + 3)/10 = 23/10

3) 3/5 ÷ 4 1/2 + 1 3/5
First, convert 4 1/2 to an improper fraction: (2*4 + 1)/2 = 9/2
Then, divide 3/5 by 9/2:
(3/5) / (9/2) = (3/5) * (2/9) = 6/45 = 2/15
Next, convert 1 3/5 to an improper fraction: (5*1 + 3)/5 = 8/5
Finally, add 2/15 and 8/5:
(2/15) + (8/5) = (2/15) + (24/15) = 26/15 or 1 11/15