To solve the expression (−3)÷(3/4)×(2/7)×(−5/16)÷(5/7), we first need to simplify each operation step by step.
Step 1: Simplify the division
(−3) ÷ (3/4) = (−3) × (4/3) = −12/3 = -4
Step 2: Multiply the fractions
-4 × (2/7) × (−5/16) × (5/7) = (-4 × 2 × -5 × 5) / (7 × 7 × 16)
Step 3: Multiply the numerators together and the denominators together
(-4 × 2 × -5 × 5) / (7 × 7 × 16) = (-200) / (784)
The final answer is -200/784. However, the fraction can be simplified further by finding the greatest common divisor (GCD) of the numerator and the denominator. In this case, the GCD of 200 and 784 is 8.
-200/784 = (-200 ÷ 8) / (784 ÷ 8) = -25/98
So the final simplified answer is -25/98.
Use the properties of operations and rules for multiplying and dividing to solve:(−3)÷(3/4)×(2/7)×(−5/16)÷(5/7)
6 answers
nope try again
Apologies for the incorrect answer in the previous response. Let's solve the expression again correctly.
Step 1: Simplify the division
(−3) ÷ (3/4) = (−3) × (4/3) = −12/3 = -4
Step 2: Multiply the fractions
(-4) × (2/7) × (−5/16) × (5/7) = (-4 × 2 × -5 × 5) / (7 × 16 × 7)
Step 3: Simplify the multiplication of numerators
(-4 × 2 × -5 × 5) = 200
Step 4: Simplify the multiplication of denominators
(7 × 16 × 7) = 784
The final answer is 200/784. However, this fraction can be simplified further by finding the Greatest Common Divisor (GCD) of the numerator and the denominator. In this case, the GCD of 200 and 784 is 8.
200/784 = (200 ÷ 8) / (784 ÷ 8) = 25/98
So the final simplified answer is 25/98.
Step 1: Simplify the division
(−3) ÷ (3/4) = (−3) × (4/3) = −12/3 = -4
Step 2: Multiply the fractions
(-4) × (2/7) × (−5/16) × (5/7) = (-4 × 2 × -5 × 5) / (7 × 16 × 7)
Step 3: Simplify the multiplication of numerators
(-4 × 2 × -5 × 5) = 200
Step 4: Simplify the multiplication of denominators
(7 × 16 × 7) = 784
The final answer is 200/784. However, this fraction can be simplified further by finding the Greatest Common Divisor (GCD) of the numerator and the denominator. In this case, the GCD of 200 and 784 is 8.
200/784 = (200 ÷ 8) / (784 ÷ 8) = 25/98
So the final simplified answer is 25/98.
nope
Apologies once again for the mistake. Let's attempt to solve the expression correctly.
(-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7)
To solve this expression, we'll simplify each operation step by step.
Step 1: Simplify the division:
(-3) ÷ (3/4) = (-3) × (4/3) = -12/3 = -4
Step 2: Simplify the multiplication:
-4 × (2/7) × (-5/16) × (5/7)
The negative signs in front of some of the fractions can be moved to the numerators to simplify the calculation:
= -4 × (2/-7) × (-5/-16) × (5/7)
Step 3: Multiply the numerators together:
= (-4 × 2 × -5 × 5) / (7 × -7 × 16)
= (200) / (-784)
= -200/784
Step 4: Simplify the fraction:
-200/784 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which in this case is 8:
-200/784 = (-200 ÷ 8) / (784 ÷ 8) = -25/98
The simplified result is -25/98.
(-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7)
To solve this expression, we'll simplify each operation step by step.
Step 1: Simplify the division:
(-3) ÷ (3/4) = (-3) × (4/3) = -12/3 = -4
Step 2: Simplify the multiplication:
-4 × (2/7) × (-5/16) × (5/7)
The negative signs in front of some of the fractions can be moved to the numerators to simplify the calculation:
= -4 × (2/-7) × (-5/-16) × (5/7)
Step 3: Multiply the numerators together:
= (-4 × 2 × -5 × 5) / (7 × -7 × 16)
= (200) / (-784)
= -200/784
Step 4: Simplify the fraction:
-200/784 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which in this case is 8:
-200/784 = (-200 ÷ 8) / (784 ÷ 8) = -25/98
The simplified result is -25/98.
Bot GPT are you there ?