(-3/5) x (5/16) x (7/15) / (-3/16) x (-5/7)
To solve this expression, we can simplify each part and then divide them.
(-3/5) x (5/16) x (7/15) = (-3*5*7)/(5*16*15) = -105/1200 = -7/80
(-3/16) x (-5/7) = (3*5)/(16*7) = 15/112
Now, we can divide them:
(-7/80) / (15/112) = (-7/80) x (112/15) = (-7*112)/(80*15) = -784/1200 = -49/75
So, (-3/5) x (5/16) x (7/15) / (-3/16) x (-5/7) simplifies to -49/75.
To simplify this complex fraction, follow these steps:
Step 1: Multiply the numerators and the denominators separately.
(-3/5) x (5/16) x (7/15) = -3 x 5 x 7 / 5 x 16 x 15
(-3/16) x (-5/7) = 3 x 5 / 16 x 7
Step 2: Simplify the multiplication results.
-3 x 5 x 7 = -105
5 x 16 x 15 = 1200
3 x 5 = 15
16 x 7 = 112
Step 3: Write out the new fraction.
(-105/1200) / (15/112)
Step 4: To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
(-105/1200) x (112/15)
Step 5: Simplify the multiplication.
-105 x 112 = -11760
1200 x 15 = 18000
Final Step: Write out the simplified fraction.
(-11760/18000) or (-131/200)