-3×3/4×2/7×-5/16×5/7
To simplify the expression -3×3/4×2/7×-5/16×5/7, we can follow the order of operations or the PEMDAS rule.
- First, we multiply -3 by 3, which equals -9.
- Then, we multiply -9 by 2 (numerator of the second fraction), which equals -18.
- After that, we multiply -18 by -5 (numerator of the third fraction), which equals 90.
- Next, we multiply 90 by 5 (numerator of the fourth fraction), which equals 450.
- Finally, we multiply the remaining denominators: 4, 7, 16, and 7, which gives us 4 × 7 × 16 × 7 = 3136.
Putting it all together, the simplified expression is:
450/3136
To solve the expression -3×3/4×2/7×-5/16×5/7, we need to multiply all the numbers together step by step.
Step 1: Multiply the first two numbers.
-3 × 3/4 = -9/4 (or -2.25)
Step 2: Multiply the result from step 1 by the next number.
-9/4 × 2/7 = -18/28 (or -9/14, by simplifying)
Step 3: Multiply the result from step 2 by the next number.
-9/14 × -5/16 = 45/224 (or approximately 0.20089)
Step 4: Multiply the result from step 3 by the final number.
45/224 × 5/7 = 225/1568 (or approximately 0.14305)
So, the final result of the expression -3×3/4×2/7×-5/16×5/7 is 225/1568 (or approximately 0.14305).
To calculate the expression -3×3/4×2/7×-5/16×5/7, follow these steps:
Step 1: Simplify the products from left to right.
-3×3/4 = -9/4 (multiply -3 and 3, then divide by 4)
-9/4 × 2/7 = -9/14 (multiply -9/4 and 2/7)
-9/14 × -5/16 = 45/224 (multiply -9/14 and -5/16)
Step 2: Multiply the result from Step 1 by 5/7.
45/224 × 5/7 = 225/1568 (multiply 45/224 and 5/7)
So, the value of -3×3/4×2/7×-5/16×5/7 is 225/1568.