To simplify this expression, we first need to calculate the parts within parentheses.
First, we calculate 5/7 21/25:(5/7) (21/25) = (105/175) = 21/35 = 3/5
Next, we add 1 9/10 to the result.1 + 9/10 = 1 + 9/10 = 10/10 + 9/10 = 19/10
Therefore, the expression within parentheses simplifies to:(5/7 * 21/25) + (1 9/10) = 3/5 + 19/10 = (6/10 + 19/10) = 25/10 = 5/2
Now, we substitute this back into the original expression:
3:15/16 - (5/2) = 3:15/16 - 5/2
To subtract 5/2 from 3:15/16, we need to convert 3:15/16 to an improper fraction first:
3 * 16 + 15 = 48 + 15 = 63Therefore, 3:15/16 = 63/16
Now, we subtract 5/2 from 63/16:63/16 - 5/2 = 63/16 - 40/16 = (63 - 40)/16 = 23/16
Therefore, the simplified expression is 23/16.
To simplify this expression, we first need to calculate the parts within parentheses.
First, we calculate 5/7 21/25:
(5/7) (21/25) = (105/175) = 21/35 = 3/5
Next, we add 1 9/10 to the result.
1 + 9/10 = 1 + 9/10 = 10/10 + 9/10 = 19/10
Therefore, the expression within parentheses simplifies to:
(5/7 * 21/25) + (1 9/10) = 3/5 + 19/10 = (6/10 + 19/10) = 25/10 = 5/2
Now, we substitute this back into the original expression:
3:15/16 - (5/2) = 3:15/16 - 5/2
To subtract 5/2 from 3:15/16, we need to convert 3:15/16 to an improper fraction first:
3 * 16 + 15 = 48 + 15 = 63
Therefore, 3:15/16 = 63/16
Now, we subtract 5/2 from 63/16:
63/16 - 5/2 = 63/16 - 40/16 = (63 - 40)/16 = 23/16
Therefore, the simplified expression is 23/16.