Use the properties of operations and rules for multiplying and dividing signed numbers to solve: (−4)×(7/5)×(−3/4)÷(7/15)
To solve this expression, let's simplify each operation step-by-step:
Step 1: Multiply -4 and 7/5.
(-4) × (7/5) = -28/5
Step 2: Multiply the result from step 1 (-28/5) and -3/4.
(-28/5) × (-3/4) = 84/20 or 21/5
Step 3: Divide the result from step 2 (21/5) by 7/15.
(21/5) ÷ (7/15) = (21/5) × (15/7) = 3/1 or simply 3
So, (-4)×(7/5)×(−3/4)÷(7/15) = 3.
To solve the expression (-4) × (7/5) × (-3/4) ÷ (7/15), we follow the order of operations (parentheses, multiplication/division from left to right, and then addition/subtraction from left to right).
First, let's simplify the multiplication:
(-4) × (7/5) = -28/5
Next, we multiply the result by the next number:
(-28/5) × (-3/4) = 84/20
Now, let's simplify the division:
84/20 ÷ (7/15)
To divide a fraction, we can multiply the numerator by the reciprocal of the denominator. So, the expression becomes:
(84/20) × (15/7)
Next, we multiply numerators and denominators:
(84 × 15) / (20 × 7) = 1260/140
Finally, we simplify the fraction:
1260/140 = 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), we'll follow the properties of operations and rules for multiplying and dividing signed numbers:
Step 1: Multiply the numbers together.
(-4) × (7/5) × (-3/4) ÷ (7/15)
= [-4 × 7 × -3] / [5 × 4 × 7] × 15
= [-84] / [140] × 15
Step 2: Simplify the fraction by canceling out common factors in the numerator and denominator.
= [-6] / [10] × 15
Step 3: Multiply the remaining fractions and simplify the expression.
= [-6 × 15] / [10]
= [-90] / [10]
= -9
Therefore, (-4) × (7/5) × (-3/4) ÷ (7/15) equals -9.