(−4)×(7/5)×(−3/4)÷(7/15)
To solve the expression, we can follow the order of operations (PEMDAS/BODMAS).
First, let's simplify the multiplication:
(-4) * (7/5) * (-3/4) = 28/5 * (-3/4)
Next, let's simplify the division:
28/5 * (-3/4) ÷ (7/15) = (28/5 * -3/4) / (7/15)
Now, let's multiply the numerators and denominators:
= (-84 / 20) / (7 / 15)
To divide fractions, we invert the second fraction and multiply:
= (-84 / 20) * (15 / 7)
Next, simplify the fraction:
= (-84 * 15) / (20 * 7)
= (-1260) / (140)
Finally, simplify the fraction:
= -9
Therefore, (-4) * (7/5) * (-3/4) ÷ (7/15) = -9.
To solve this expression step-by-step, we will follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). Let's break it down:
Step 1: Evaluate the expression inside the parentheses:
(-4) × (7/5) × (-3/4) ÷ (7/15)
Step 2: Simplify the multiplication:
= (-4) × (7/5) × (-3/4) ÷ (7/15)
= (-28/5) × (-3/4) ÷ (7/15)
Step 3: Simplify the next multiplication:
= (-28/5) × (-3/4) ÷ (7/15)
= (84/20) ÷ (7/15)
Step 4: Simplify the division by multiplying by the reciprocal:
= (84/20) ÷ (7/15)
= (84/20) × (15/7)
Step 5: Simplify the multiplication:
= (84/20) × (15/7)
= (3/5) × (3/1)
Step 6: Multiply the numerators together and the denominators together:
= (3/5) × (3/1)
= (9/5)
Therefore, the result of the expression (-4) × (7/5) × (-3/4) ÷ (7/15) is 9/5.
To solve the expression (−4)×(7/5)×(−3/4)÷(7/15), you'll need to follow the order of operations, which is known as BEDMAS or PEMDAS.
1. First, perform the multiplication and division from left to right.
(−4) × (7/5) = -28/5
-28/5 × (−3/4) = 84/20 = 21/5
2. Now, evaluate the division.
(21/5) ÷ (7/15) = (21/5) × (15/7) = 315/35 = 9
Therefore, the expression (−4)×(7/5)×(−3/4)÷(7/15) simplifies to 9.