Use the properties of operations and rules for multiplying and dividing signed numbers to solve: (−4)×(7/5)×(−3/4)÷(7/15) (1 point) Responses −14775 negative Start Fraction 147 over 75 End Fraction 9
To solve the expression: (−4)×(7/5)×(−3/4)÷(7/15), we can simplify step by step following the rules for multiplying and dividing signed numbers.
Step 1: Multiply the first two fractions: (−4)×(7/5) = −(4×7)/(5) = −28/5.
Step 2: Multiply the result from step 1 by the next fraction: −(28/5)×(−3/4) = (28×3)/(5×4) = 84/20 = 21/5.
Step 3: Divide the result from step 2 by the last fraction: (21/5)÷(7/15) = (21/5)×(15/7) = (21×15)/(5×7) = 315/35 = 9.
So, the value of the expression is 9.
To solve the expression (-4)×(7/5)×(-3/4)÷(7/15), we can follow the properties of operations and rules for multiplying and dividing signed numbers.
First, let's simplify the multiplication part:
(-4) × (7/5) = -28/5
Next, let's simplify the division part:
(-28/5) ÷ (7/15) = (-28/5) × (15/7) = (-28 × 15) / (5 × 7) = -420/35
Now, let's simplify the resulting fraction:
-420/35 = -12
So, the final answer is -12.
To solve the expression (−4) × (7/5) × (−3/4) ÷ (7/15), we can follow these steps:
Step 1: Start by multiplying the numbers together, following the order of operations (parentheses, exponents, multiplication and division, and finally addition and subtraction).
(−4) × (7/5) × (−3/4) ÷ (7/15)
Step 2: Multiply the first two numbers, −4 and 7/5:
(−4) × (7/5) = −28/5
Step 3: Multiply the result from step 2 with the next number, −3/4:
(−28/5) × (−3/4) = (28/5) × (3/4) (Remember that a negative times a negative is a positive)
Step 4: Simplify the multiplication:
(28/5) × (3/4) = 84/20 (Cancel out common factors 28 and 4)
= 21/5 (Simplify the fraction)
Step 5: Finally, divide the result from step 4 by the last number, 7/15:
(21/5) ÷ (7/15)
To divide fractions, multiply the numerator of the first fraction by the denominator of the second fraction, and multiply the denominator of the first fraction by the numerator of the second fraction:
= (21/5) × (15/7)
= (21 × 15) / (5 × 7)
= 315/35 (Cancel out common factors 21 and 7)
= 9
Therefore, the result of the expression (−4) × (7/5) × (−3/4) ÷ (7/15) is 9.