Use the properties of operations and rules multiplying and dividing signed numbers to solve.
(-4) x (7/5) x (-3/4) divided by (7/15)
1. 9
2. 147/75
3. -147/75
4. -9
1. 9
It’s number 1
Yes, it is. The product of two negative numbers is a positive number, so when you multiplied (-4) by (-3/4), the result was positive. The positive result was then multiplied by the positive number (7/5). Finally, the product was divided by another positive number (7/15), keeping the result positive. Thus, the correct answer is 1. 9.
To solve (-4) x (7/5) x (-3/4) ÷ (7/15), we can follow these steps:
Step 1: Multiply the numerators and denominators of all the fractions together.
(-4) x (7/5) x (-3/4) ÷ (7/15)
= ((-4) x 7 x (-3))/(5 x 4) ÷ (7/15)
Step 2: Simplify the multiplication.
= 84/20 ÷ (7/15)
Step 3: Invert the second fraction and change the division to multiplication.
= 84/20 x (15/7)
Step 4: Simplify the multiplication.
= (84 x 15)/(20 x 7)
= 1260/140
= 9
Therefore, the answer is option 1. 9.
To solve the given expression, we will apply the properties of operations and the rules for multiplying and dividing signed numbers. Here's how you can do it step by step:
Step 1: Multiply the numbers together by applying the multiplication rule for signed numbers.
(-4) x (7/5) x (-3/4) = -4 * 7/5 * -3/4
Step 2: Simplify the expression by canceling out common factors.
In this case, it is easier to multiply and divide first before canceling any common factors. We'll multiply the numerators first and then the denominators.
Multiplying the numerators: -4 * 7 * -3 = 84
Multiplying the denominators: 5 * 4 = 20
So, now the expression becomes (84)/(20).
Step 3: Divide the numerator by the denominator.
Dividing 84 by 20 gives us the fraction 84/20.
Step 4: Simplify the fraction, if possible.
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator, which is 4.
Dividing the numerator and denominator by 4:
84 ÷ 4 = 21
20 ÷ 4 = 5
So, the fraction simplifies to (21)/(5).
Step 5: Divide the simplified fraction by (7/15).
Dividing (21/5) by (7/15) is the same as multiplying (21/5) by the reciprocal (15/7) of the second fraction.
(21/5) * (15/7)
Step 6: Multiply the numerators and denominators.
Multiplying the numerators: 21 * 15 = 315
Multiplying the denominators: 5 * 7 = 35
So, now the expression becomes (315)/(35).
Step 7: Simplify the fraction, if possible.
Again, we simplify the fraction by finding the GCD of the numerator and denominator, which is 35.
Dividing the numerator and denominator by 35:
315 ÷ 35 = 9
35 ÷ 35 = 1
So, the fraction simplifies to (9)/(1), which is equivalent to the whole number 9.
Therefore, the answer to the given expression is 9. Hence, option 1: 9 is the correct answer.