To solve this problem, we need to simplify the expression by following the order of operations (PEMDAS).
First, let's simplify the fractions within the parentheses7/15 + 1 13/15 = 1 (15/15) + 1 13/1= 1 + 1 13/1= 2 13/15
Now, let's subtract the sum of the fractions from 1 3/41 3/4 - (2 13/15 + 3/8)
Convert the mixed numbers to improper fractions1 3/4 = 4/4 + 3/4 = 7/2 13/15 = 2 * 15 + 13 / 15 = 43/15
Now, substitute the improper fractions back into the expression7/4 - (43/15 + 3/8)
Find a common denominator for the fractions7/4 - (43/15 + 9/30)
Perform the addition inside the parentheses7/4 - (43/15 + 9/30= 7/4 - (86/30 + 9/30= 7/4 - 95/3= 7/4 - 19/6
Convert the fractions to have a common denominator7/4 = 105/619/6 = 190/60
Subtract the fractions105/60 - 190/60 = -85/60 = -17/12
Therefore, 1 3/4 - (2 13/15 + 3/8) = -17/12 or -1 5/12 in mixed number form.
To solve this problem, we need to simplify the expression by following the order of operations (PEMDAS).
First, let's simplify the fractions within the parentheses
7/15 + 1 13/15 = 1 (15/15) + 1 13/1
= 1 + 1 13/1
= 2 13/15
Now, let's subtract the sum of the fractions from 1 3/4
1 3/4 - (2 13/15 + 3/8)
Convert the mixed numbers to improper fractions
1 3/4 = 4/4 + 3/4 = 7/
2 13/15 = 2 * 15 + 13 / 15 = 43/15
Now, substitute the improper fractions back into the expression
7/4 - (43/15 + 3/8)
Find a common denominator for the fractions
7/4 - (43/15 + 9/30)
Perform the addition inside the parentheses
7/4 - (43/15 + 9/30
= 7/4 - (86/30 + 9/30
= 7/4 - 95/3
= 7/4 - 19/6
Convert the fractions to have a common denominator
7/4 = 105/6
19/6 = 190/60
Subtract the fractions
105/60 - 190/60 = -85/60 = -17/12
Therefore, 1 3/4 - (2 13/15 + 3/8) = -17/12 or -1 5/12 in mixed number form.