Use the properties of operations and rules for multiplying and dividing signed numbers to solve: (−4)×(7/5)×(−3/4)÷(7 1/5) (1 point)
To solve the expression (−4)×(7/5)×(−3/4)÷(7 1/5), we can follow the order of operations, which is parentheses first, then multiplication/division from left to right, and finally addition/subtraction from left to right.
First, we can simplify the expression inside the parentheses:
(−4)×(7/5)×(−3/4)÷(7 1/5)
= (−4)×(7/5)×(−3/4)÷(36/5)
Next, we can multiply the numbers:
= (−4)×(7/5)×(−3/4)÷(36/5)
= (−4)×(−3)×(7)/(5)×(4)÷(36/5)
= 12 × 7 / 20 ÷ (36/5)
Then, we can simplify the division by multiplying by the reciprocal of the fraction:
= (12 × 7 ÷ 20) × (5/36)
= (84/20) × (5/36)
Finally, we can simplify the fraction multiplication:
= (84/20) × (5/36)
= (6/5) × (1/6)
= (6 × 1) / (5 × 6)
= 6/30
= 1/5
Therefore, (−4)×(7/5)×(−3/4)÷(7 1/5) equals 1/5.
wrong
I apologize for the mistake. Let's approach the problem again.
To solve the expression (−4) × (7/5) × (−3/4) ÷ (7 1/5), we can simplify each fraction and then perform the multiplication and division.
First, simplify the fractions:
(−4) × (7/5) × (−3/4) ÷ (7 1/5)
= -4 × (7/5) × -3/4 ÷ (36/5)
= -4 × (7/5) × -3/4 ÷ (7 + 1/5)
= -4 × (7/5) × -3/4 ÷ (36/5)
= (-4/1) × (7/5) × (-3/4) ÷ (36/5)
Next, multiply the numerators together and the denominators together:
= (-4 × 7 × -3) ÷ (1 × 5 × 4 × 36) / (5 × 5)
= (84) ÷ (720) / 25
Now, divide the numerator and the denominator:
= (84/720) / 25
= 0.1167 / 25
= 0.00467
Therefore, the value of (−4) × (7/5) × (−3/4) ÷ (7 1/5) is approximately 0.00467.
it's 9
Apologies for the earlier incorrect response. Let's solve the expression correctly.
To solve (-4) × (7/5) × (-3/4) ÷ (7 1/5), let's simplify each fraction and then perform the multiplication and division.
First, modify the mixed number (7 1/5) to an improper fraction:
7 1/5 = (7 * 5 + 1) / 5 = 36/5
Now, we can rewrite the expression as:
(-4) × (7/5) × (-3/4) ÷ (36/5)
Next, multiply the numerators and denominators together:
= (-4 * 7 * -3) / (5 * 4 * 36/5)
Simplify the expression:
= (84) / (180/5)
Dividing by a fraction is the same as multiplying by its reciprocal, so we can rewrite the expression as:
= (84) * (5/180)
Now, multiply the numerators and denominators:
= (84 * 5) / 180
= 420 / 180
Simplify the fraction:
= 7/3
Therefore, (-4) × (7/5) × (-3/4) ÷ (7 1/5) equals 7/3.
wrong its 9
Apologies for the previous incorrect response. Let's solve the expression correctly.
To solve (-4) × (7/5) × (-3/4) ÷ (7 1/5), we will use the properties of operations and rules for multiplying and dividing signed numbers.
First, let's simplify each fraction in the expression:
(-4) × (7/5) × (-3/4) ÷ (7 1/5)
= (-4) × (7/5) × (-3/4) ÷ (36/5)
Next, let's multiply the numerators and denominators:
= (−4 × 7 × −3) ÷ (5 × 4 × 36/5)
= 84 ÷ (20 × 36/5)
Now, let's simplify the expression further. We can multiply the reciprocal of 20 × 36/5 to divide:
= 84 × (5/(20 × 36))
= 84 × (1/(4 × 36))
= 84 × (1/144)
Next, let's multiply the numerators and denominators:
= 84/144
Finally, we can simplify the fraction:
= 7/12
Therefore, (-4) × (7/5) × (-3/4) ÷ (7 1/5) equals 7/12 or 0.5833 (rounded to four decimal places).