Use the properties of operations and rules for multiplying dividing signed numbers to solve:
(-4)×(7/5)×(-3/4)÷(7/15)
9
-147/75
147/75
-9
First, we can simplify the expression by canceling out any common factors within the numerator and denominator.
(-4) × (7/5) × (-3/4) ÷ (7/15)
= (-4) × (7) × (-3) ÷ (5) × (4) × (7/15)
= (-4) × (-1) × (3) × (3)/(5) × (1)
= 4 × 3 × 3 / 5
= 36 / 5
The simplified expression is 36/5, which is equivalent to 7 1/5.
To solve the expression (-4)×(7/5)×(-3/4)÷(7/15), you can follow these steps:
Step 1: Multiply the two negative numbers (-4) and (-3/4).
-4 × (-3/4) = 12/4 = 3
Step 2: Multiply the result from step 1 by 7/5.
3 × (7/5) = (3 × 7)/(5) = 21/5
Step 3: Divide the result from step 2 by 7/15.
(21/5) ÷ (7/15) = (21/5) × (15/7) = (21 × 15)/(5 × 7) = 315/35 = 9
Therefore, the solution to the expression (-4)×(7/5)×(-3/4)÷(7/15) is 9.
To solve the expression (-4)×(7/5)×(-3/4)÷(7/15), follow these steps using the properties of operations and rules for multiplying and dividing signed numbers:
Step 1: Start by multiplying the numbers from left to right.
(-4)×(7/5) = (-28/5)
Step 2: Multiply the result by the next number.
(-28/5)×(-3/4) = (84/20)
Step 3: Divide the result by the next number.
(84/20)÷(7/15) = (84/20)×(15/7)
Step 4: Simplify the fraction.
(84/20)×(15/7) = (3.36)×(2.14)
Step 5: Multiply the decimal numbers.
(3.36)×(2.14) ≈ 7.1864
Step 6: Round the answer to the nearest suitable decimal or fraction.
7.1864 ≈ 7.19
Therefore, the solution to the expression (-4)×(7/5)×(-3/4)÷(7/15) is approximately 7.19.