To simplify the given expression step by step, follow these steps:
Step 1: Multiply the first two numbers.
(-4) x (7/5) = -28/5
Step 2: Divide the result from Step 1 by the third number.
(-28/5) x (-3/4) = 84/20
Step 3: Divide the result from Step 2 by the fourth number.
(84/20) รท (7/15)
To simplify the division of fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
Step 4: Multiply the first fraction by the reciprocal of the second fraction.
(84/20) x (15/7)
Step 5: Simplify the fraction, if possible.
Multiply the numerators and multiply the denominators.
(84 x 15) / (20 x 7) = 1260/140
Step 6: Simplify the fraction further, if possible.
Divide the numerator and denominator by their greatest common divisor, which is 20.
1260/140 = 63/7 = 9
Therefore, the simplified value of (-4)x(7/5)x(-3/4)/(7/15) is 9.