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
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.
To solve (9)÷(54)×(79)×(−5)÷(72), we follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
First, let's perform the division:
(9) ÷ (54) = 1/6
Now, let's multiply the remaining numbers:
1/6 × (79) × (-5) ÷ (72)
Next, multiply 1/6 by 79:
1/6 × 79 = 79/6
Now, multiply 79/6 by -5:
79/6 × -5 = -395/6
Finally, divide -395/6 by 72:
-395/6 ÷ 72 = -395/432
Therefore, the answer is:
(-395/432)
To solve the given expression (9) ÷ (54) × (79) × (-5) ÷ (72), we need to follow the properties of operations and rules for multiplying and dividing rational numbers.
Step 1: Start by dividing the numerator and denominator of the fraction (9) by (54):
9 ÷ 54 = 1/6
Step 2: Next, multiply the fraction (1/6) by the whole number (79):
(1/6) × 79 = 79/6
Step 3: Then, multiply the resulting fraction (79/6) by the negative whole number (-5):
(79/6) × (-5) = -395/6
Step 4: Finally, divide the resulting fraction (-395/6) by the whole number (72):
(-395/6) ÷ 72 = -395/432
Therefore, the answer to the given expression is -395/432.