use the properties of operations and rules for multiplying and dividing signed numbers to solve (-4) times (7/5) times (-3/4) divided by (7/15)
First, let's simplify the given expression step by step using the properties of operations and rules for multiplying and dividing signed numbers.
(-4) times (7/5) times (-3/4) divided by (7/15)
Multiplying:
(-4) * (7/5) equals -28/5
(-28/5) * (-3/4) equals 84/20
Dividing:
84/20 divided by (7/15) can be rewritten as 84/20 multiplied by (15/7)
Multiplying fractions:
84/20 multiplied by 15/7 equals 1260/140
Simplifying:
1260/140 can be reduced to 9/1 (dividing both 1260 and 140 by their greatest common divisor which is 140)
Therefore, (-4) times (7/5) times (-3/4) divided by (7/15) equals 9/1 or simply 9.
To solve the expression (-4) × (7/5) × (-3/4) ÷ (7/15), we can follow the rules for multiplying and dividing signed numbers. Let's break down the expression step by step:
Step 1: Multiply the coefficients.
(-4) × (-3) = 12
Step 2: Multiply the fractions.
(7/5) × (1/4) = 7/20
Step 3: Divide the resulting expression by the remaining fraction.
12 ÷ (7/20) = 12 × (20/7) = 240/7
Step 4: Simplify the resulting fraction.
240/7 cannot be simplified further. However, if you prefer a mixed number as the final answer, you can write it as 34 2/7 by dividing 240 by 7 and expressing the remainder as a fraction.
Therefore, the result of the expression (-4) × (7/5) × (-3/4) ÷ (7/15) is either 240/7 or 34 2/7 (as a mixed number).
To solve the expression (-4) times (7/5) times (-3/4) divided by (7/15) using the properties of operations and rules for multiplying and dividing signed numbers, follow these steps:
Step 1: Simplify the multiplication part of the expression:
(-4) times (7/5) times (-3/4) = (-4) * (7/5) * (-3/4)
Since we have a negative sign in front of each fraction, we can ignore the negative signs for now:
(4) * (7/5) * (3/4)
Step 2: Cancel out common factors between the numerator of one fraction and the denominator of another fraction:
(4) * (7/5) * (3/4) = (4 * 7 * 3) / (5 * 4)
Step 3: Simplify further by multiplying the numerators and denominators:
(4 * 7 * 3) / (5 * 4) = (84) / (20)
Step 4: Reduce the fraction to its simplest form:
(84) / (20) = 42/10 = 21/5
Step 5: Divide the result by (7/15):
(21/5) divided by (7/15)
To divide by a fraction, multiply by its reciprocal:
(21/5) * (15/7)
Step 6: Cancel out common factors between the numerator of one fraction and the denominator of another fraction:
(21/5) * (15/7) = (21 * 15) / (5 * 7)
Step 7: Simplify further by multiplying the numerators and denominators:
(21 * 15) / (5 * 7) = 315/35
Step 8: Reduce the fraction to its simplest form:
315/35 = 9
Therefore, (-4) times (7/5) times (-3/4) divided by (7/15) is equal to 9.