Use the properties of operation and rules for multiplying and dividing to solve -3÷3/4×2/7×-5/16÷5/7
To solve the expression: -3÷3/4×2/7×-5/16÷5/7, we can follow the order of operations and simplify step by step.
First, let's solve the division operations from left to right:
-3 ÷ 3/4 = -3 × 4/3
= -12/3
= -4
Next, let's multiply the remaining fractions from left to right:
-4 × 2/7 = -8/7
Now, let's solve the next division:
-8/7 × -5/16 = (-8 × -5) / (7 × 16)
= 40/112
= 5/14
Therefore, the expression -3÷3/4×2/7×-5/16÷5/7 simplifies to 5/14.
To solve the expression -3 ÷ 3/4 × 2/7 × -5/16 ÷ 5/7, we can follow the order of operations, which states that we should perform any division or multiplication operations in order from left to right before moving on to addition or subtraction.
Step 1: Simplify the division operation:
-3 ÷ 3/4 = -3 × 4/3 = -12/3 = -4
The expression becomes -4 × 2/7 × -5/16 ÷ 5/7.
Step 2: Simplify the multiplication operations from left to right:
-4 × 2/7 = -8/7
The expression becomes -8/7 × -5/16 ÷ 5/7.
Step 3: Simplify the remaining division operation:
-5/16 ÷ 5/7 = -5/16 × 7/5 = -35/80 = -7/16
Therefore, the final result is -7/16.
To solve the expression -3÷3/4×2/7×-5/16÷5/7, we can follow the order of operations and use the properties of multiplication and division.
Step 1: Simplify within the parentheses (if any).
There are no parentheses in the given expression, so we move to the next step.
Step 2: Perform any divisions from left to right.
-3 ÷ 3/4 = -3 × 4/3 = -12/3 = -4
Step 3: Perform any multiplications from left to right.
Now, we have -4 × 2/7 × -5/16 ÷ 5/7
Multiplying -4 and 2 gives -8. So the expression becomes -8/7 × -5/16 ÷ 5/7
Multiplying -8/7 and -5/16 gives 40/112 or 5/14. So the expression becomes 5/14 ÷ 5/7
Step 4: Divide by multiplying the reciprocal.
Dividing 5/14 by 5/7 is the same as multiplying by the reciprocal of 5/7, which is 7/5.
Multiplying 5/14 and 7/5 gives (5 × 7) / (14 × 5) = 35/70 = 1/2
Therefore, the solution to the expression -3 ÷ 3/4 × 2/7 × -5/16 ÷ 5/7 is 1/2.