use the properties of operations and rules for multiplying and dividing signed numbers to solve:
(-4) x (7/5) x (-3/4) ÷ (7/15)
To solve the expression (-4) x (7/5) x (-3/4) ÷ (7/15), let's break it down step by step:
(-4) x (7/5) x (-3/4) ÷ (7/15)
First, we can simplify the multiplication: (-4) x (7/5) = -28/5
Now we have: -28/5 x (-3/4) ÷ (7/15)
Next, let's simplify the second multiplication: -28/5 x (-3/4) = 84/20 = 21/5
Now we have: 21/5 ÷ (7/15)
Dividing by a fraction is the same as multiplying by its reciprocal. So, let's multiply by the reciprocal of 7/15: (15/7)
(21/5) x (15/7) = (21 * 15) / (5 * 7) = 315/35 = 9
Therefore, the expression (-4) x (7/5) x (-3/4) ÷ (7/15) simplifies to 9.
To solve the problem (-4) x (7/5) x (-3/4) ÷ (7/15) using the properties of operations and rules for multiplying and dividing signed numbers, follow these steps:
Step 1: Multiply the numbers from left to right.
-4 x 7/5 = -28/5
Step 2: Multiply the result with the next number.
-28/5 x -3/4 = 84/20
Step 3: Divide the result by the last number.
84/20 ÷ 7/15 = (84/20) x (15/7)
Step 4: Simplify the fractions by canceling common factors.
84/20 = 21/5
Step 5: Multiply the fractions.
(21/5) x (15/7) = 315/35
Step 6: Simplify the fraction.
315/35 = 9
Therefore, the calculation (-4) x (7/5) x (-3/4) ÷ (7/15) equals 9.
To solve the expression (-4) x (7/5) x (-3/4) ÷ (7/15), we need to follow the properties of operations and rules for multiplying and dividing signed numbers. Here are the steps to solve it:
Step 1: Start by simplifying the multiplication of the numbers within the expression, following the rule that applies for multiplying signed numbers. Multiply the integers first, then multiply the fractions.
(-4) x (7/5) x (-3/4) ÷ (7/15) becomes:
(-4)(7)/(5)(1) x (-3)/(4)(1) ÷ (7)/(15)(1)
Simplifying further, we have:
-28/5 x -3/4 ÷ 7/15
Step 2: Next, we apply the rule for multiplying fractions. Multiply the numerators together and the denominators together.
(-28/5) x (-3/4) ÷ (7/15) becomes:
(28)(3)/(5)(4) ÷ (7)/(15)
Simplifying further, we have:
84/20 ÷ 7/15
Step 3: Now we apply the rule for dividing fractions. Multiply the first fraction by the reciprocal of the second fraction.
(84/20) ÷ (7/15) becomes:
(84/20) x (15/7)
Simplifying further, we have:
(6)(3)/(1)(7)
Step 4: Finally, multiply the numerator and divide by the denominator to get the simplified fraction.
(6)(3)/(1)(7) gives us:
18/7
So the expression (-4) x (7/5) x (-3/4) ÷ (7/15) simplifies to 18/7.