Multiply & Divide Rational Numbers Quick Check

2 of 52 of 5 Items

Question
Use the properties of operations and rules for multiplying and dividing to solve:

(9)÷(54)×(79)×(−5)÷(72)

(1 point)
Responses

8
8

−8
negative 8

1,2258
Start Fraction 1,225 over 8 End Fraction

−1,2258

5 answers

To solve the expression (9)÷(54)×(79)×(−5)÷(72), we follow the order of operations.

Step 1: Perform the division operation (9)÷(54). This equals 1/6.

Step 2: Multiply the result of step 1 by 79. (1/6) * 79 equals 79/6.

Step 3: Multiply the result of step 2 by -5. (79/6) * (-5) equals -395/6.

Step 4: Divide the result of step 3 by 72. (-395/6) ÷ 72 equals -395/432.

Therefore, the answer is -395/432 or approximately -0.914.
as a fraction
The answer as a fraction is -395/432.
simplify
To simplify the fraction -395/432, we can find the greatest common divisor (GCD) of the numerator and denominator and divide both by it.

The GCD of 395 and 432 is 1.

Dividing both the numerator and denominator by 1, we get:

-395/1 ÷ 432/1 = -395/432

Therefore, the simplified form of -395/432 is -395/432.
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