(-4)×(7/5)×(-3/4)÷(7/15)
To solve this expression, we'll simplify each part step by step.
First, let's multiply -4 by 7/5:
(-4) × (7/5) = -28/5.
Next, let's multiply -28/5 by -3/4:
(-28/5) × (-3/4) = 84/20.
Now, let's divide 84/20 by 7/15. To do this, we multiply by the reciprocal of 7/15, which is 15/7:
(84/20) ÷ (7/15) = (84/20) × (15/7) = 1260/140 = 9.
Therefore, (-4) × (7/5) × (-3/4) ÷ (7/15) equals 9.
Negative or positive
The final answer, 9, is positive.
To solve the expression (-4) × (7/5) × (-3/4) ÷ (7/15), follow the order of operations, which is parentheses, multiplication/division (from left to right), and addition/subtraction (from left to right).
Step 1: Calculate the multiplication: (-4) × (7/5) = -28/5.
The expression becomes -28/5 × (-3/4) ÷ (7/15).
Step 2: Calculate the multiplication: -28/5 × (-3/4) = 84/20.
The expression becomes 84/20 ÷ (7/15).
Step 3: Calculate the division: 84/20 ÷ (7/15) = 84/20 × (15/7).
The expression becomes 84/20 × 15/7.
Step 4: Calculate the multiplication: 84/20 × 15/7 = 1260/140.
Simplifying the fraction, we get 9/1.
So, the final result is 9/1 which can also be written as 9.
To perform this calculation, you need to follow the order of operations (also known as PEMDAS). PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Let's break down the expression step by step:
Step 1: Simplify the multiplication and division from left to right
(-4) × (7/5) × (-3/4) ÷ (7/15)
First, multiply -4 by 7/5:
-4 × 7/5 = -28/5
Next, multiply this result by -3/4:
(-28/5) × (-3/4) = 84/20 = 21/5
Now, divide this result by 7/15:
(21/5) ÷ (7/15)
To divide fractions, you need to 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. Therefore:
(21/5) ÷ (7/15) = (21/5) × (15/7)
Step 2: Simplify the new fraction obtained in the previous step
Multiply the numerators (21 and 15) together and multiply the denominators (5 and 7) together:
(21/5) × (15/7) = (21 × 15) / (5 × 7) = 315/35
Step 3: Simplify the resulting fraction
Both the numerator (315) and the denominator (35) are divisible by 35:
315 ÷ 35 = 9
35 ÷ 35 = 1
So, the final simplified form is:
315/35 = 9/1 = 9
Therefore, (-4) × (7/5) × (-3/4) ÷ (7/15) equals 9.