Step 2: Perform the calculations with the simplified fractions: 5/7 + 23/15 - 1/2 To add or subtract fractions, we need to have a common denominator. The least common multiple (LCM) of 7, 15, and 2 is 105. (5/7) (15/15) + (23/15) (7/7) - (1/2) * (52/52) = 75/105 + 161/105 - 52/105 = (75 + 161 - 52) / 105 = 184/105
Therefore, the final result of the expression 5/7 1 + 13/15 + 2/3 - 1 2/5 5/14 is 184/105.
To solve this expression, we need to follow the order of operations (PEMDAS).
Step 1: Simplify each fraction first:
5/7 1 = 5/7
13/15 + 2/3 = (133 + 215) / (153) = (39 + 30) / 45 = 69 / 45 = 23 / 15
1 2/5 5/14 = (7/5) (5/14) = 7/14 = 1/2
Step 2: Perform the calculations with the simplified fractions:
5/7 + 23/15 - 1/2
To add or subtract fractions, we need to have a common denominator. The least common multiple (LCM) of 7, 15, and 2 is 105.
(5/7) (15/15) + (23/15) (7/7) - (1/2) * (52/52)
= 75/105 + 161/105 - 52/105
= (75 + 161 - 52) / 105
= 184/105
Therefore, the final result of the expression 5/7 1 + 13/15 + 2/3 - 1 2/5 5/14 is 184/105.