3/4 ( 1/5 divided by 3/5) ( -8)
To solve this expression, we need to simplify the division first:
1/5 divided by 3/5 can be rewritten as 1/5 multiplied by 5/3 (by taking the reciprocal of the divisor).
1/5 * 5/3 = 1/3
Now we can substitute this value back into the original expression:
3/4 * (1/3) * (-8)
Multiplying the fractions:
= (3 * 1 * -8) / (4 * 3)
= -24/12
Simplifying the fraction:
= -2/1
Final result: -2
To simplify the expression 3/4 * (1/5 divided by 3/5) * (-8), follow these steps:
Step 1: Evaluate the division part of the expression.
1/5 divided by 3/5 = (1/5) * (5/3) = 1/3
Now the expression becomes 3/4 * 1/3 * (-8).
Step 2: Multiply the fractions.
3/4 * 1/3 = (3 * 1) / (4 * 3) = 3/12 = 1/4
Now the expression becomes 1/4 * (-8).
Step 3: Multiply the result by -8.
1/4 * (-8) = -8/4 = -2
Therefore, the simplified expression is -2.