To simplify this expression, we need to first convert all the mixed numbers to improper fractions.
So, the expression becomes:
14/1 14/15 - (13/8 + 17/8 11/17) * 3/7
Now, simplify the expression within the parentheses:
13/8 + (17/8 * 11/17) = 13/8 + 187/136 = 221/136
Substitute this back into the main expression:
14/1 14/15 - 221/136 3/7
Now multiply the fractions:
14/1 * 14/15 = 196/15
Now simplify the expression:
196/15 - 221/136 * 3/7
221/136 * 3/7 = 663/952
Now subtract the fractions:
196/15 - 663/952
To subtract the fractions, we need to find a common denominator which is the LCM of 15 and 952, which is 952
(196 952) / (15 952) - 663/952= 186992/14280 - 663/952
(186992 - 9490) / 14280 - 663/952= 177502 / 14280 - 663/952
So, the simplified expression is:
177502 / 14280 - 663 / 952
To simplify this expression, we need to first convert all the mixed numbers to improper fractions.
For the first mixed number, 3 22/2 -> (3 * 2 + 22)/2 = 28/2 = 14So, the expression becomes:
14/1 14/15 - (13/8 + 17/8 11/17) * 3/7
Now, simplify the expression within the parentheses:
13/8 + (17/8 * 11/17) = 13/8 + 187/136 = 221/136
Substitute this back into the main expression:
14/1 14/15 - 221/136 3/7
Now multiply the fractions:
14/1 * 14/15 = 196/15
Now simplify the expression:
196/15 - 221/136 * 3/7
Now multiply the fractions:
221/136 * 3/7 = 663/952
Now subtract the fractions:
196/15 - 663/952
To subtract the fractions, we need to find a common denominator which is the LCM of 15 and 952, which is 952
(196 952) / (15 952) - 663/952
= 186992/14280 - 663/952
Now subtract the fractions:
(186992 - 9490) / 14280 - 663/952
= 177502 / 14280 - 663/952
So, the simplified expression is:
177502 / 14280 - 663 / 952