(-3/5)×(5/16)×(7/12)÷(-3/16)×(-5/7)
To simplify the expression
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7),
we can cancel out common factors in the numerators and denominators:
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7) = (-1/1) × (1/1) × (1/2) ÷ (-1/16) × (-1/1) =
-1/2 ÷ 1/16 = -1/2 × 16/1 = -16/2 = -8.
Therefore, the simplified expression is -8.
To simplify the expression (-3/5)×(5/16)×(7/12)÷(-3/16)×(-5/7), let's go step-by-step:
Step 1: Multiply the fractions (-3/5) and (5/16).
(-3/5) × (5/16) = (-15/80)
Step 2: Multiply the result from step 1 with the fraction (7/12).
(-15/80) × (7/12) = (-105/960)
Step 3: Divide the result from step 2 by the fraction (-3/16).
(-105/960) ÷ (-3/16) = (-105/960) × (-16/3)
Step 4: Multiply the result from step 3 with the fraction (-5/7).
(-105/960) × (-16/3) = (-105 × -16) / (960 × 3) × (-5/7)
= (1680/2880) × (-5/7)
Step 5: Simplify the result from step 4.
(1680/2880) × (-5/7) = (-7/12) × (-1/2)
= (7/12) × (1/2)
Step 6: Multiply the fractions from step 5.
(7/12) × (1/2) = 7/24
Therefore, (-3/5)×(5/16)×(7/12)÷(-3/16)×(-5/7) simplifies to 7/24.
To evaluate the expression (-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7), let's break it down step by step:
1. Multiply the fractions from left to right:
(-3/5) × (5/16) = (-3 × 5) / (5 × 16) = -15/80 = -3/16
2. Now, divide the result by the next fraction:
-3/16 ÷ (-3/16) = (-3/16) × (-16/3) = (-3 × -16) / (16 × 3) = 48/48 = 1
3. Finally, multiply the result by the last fraction:
1 × (-5/7) = (-5/7)
Therefore, the expression (-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7) simplifies to -5/7.