Use the properties of operations and rules for multiplying and dividing to solve: (9)÷(5/4)×(7/9)×(−5)÷(7/2) (1 point) Responses −8 negative 8 −1,2258 negative Start Fraction 1,225 over 8 End Fraction 1,2258 Start Fraction 1,225 over 8 End Fraction 8
To solve the expression (9)÷(5/4)×(7/9)×(−5)÷(7/2), we can simplify step by step using the properties of operations and rules for multiplying and dividing.
Step 1: Simplify the division in the expression.
(9) ÷ (5/4) = (9) × (4/5)
Multiply the numerator and denominator:
9 × 4 = 36
5 × 1 = 5
So, (9) ÷ (5/4) = 36/5
Step 2: Simplify the multiplication in the expression.
(36/5) × (7/9) × (-5) ÷ (7/2) = (36/5) × (7/9) × (-5) × (2/7)
Step 3: Multiply the numerators and denominators together.
(36 × 7 × (-5) × 2) / (5 × 9 × 7)
Step 4: Simplify the multiplication.
(-2520) / (315)
Step 5: Divide to get the final answer.
(-2520) ÷ (315) = -8
Therefore, the final answer is -8.
To solve the expression (9)÷(5/4)×(7/9)×(−5)÷(7/2), we can simplify it step by step using the rules for multiplying and dividing.
Step 1: Multiply 9 and 4 to get 36. Divide 36 by 5 to get 7 and 1/5.
(9) ÷ (5/4) = 9 × (4/5) = 36/5 = 7 and 1/5.
Step 2: Multiply 7 and 1/5 by 7. To multiply a whole number with a fraction, multiply the whole number by the numerator and write it over the denominator.
7 and 1/5 × 7 = (7 × 5 + 1) / 5 = 36/5 × 7/1 = (36 × 7) / (5 × 1) = 252/5.
Step 3: Multiply 252/5 by -5. To multiply a fraction by a whole number, multiply the numerator by the whole number and keep the denominator the same.
252/5 × (-5) = (252 × -5) / 5 = -1260/5.
Step 4: Divide -1260/5 by 7/2. To divide two fractions, multiply the first fraction by the reciprocal (flipped version) of the second fraction.
-1260/5 ÷ 7/2 = (-1260/5) × (2/7) = (-1260 × 2) / (5 × 7) = -2520/35.
Step 5: Simplify -2520/35. Divide the numerator and denominator by their greatest common divisor, which is 35.
-2520/35 = (-2520 ÷ 35) / (35 ÷ 35) = (-72) / 1 = -72.
Therefore, the solution to the expression (9)÷(5/4)×(7/9)×(−5)÷(7/2) is -72.
To solve the expression (9)÷(5/4)×(7/9)×(−5)÷(7/2), we can use the rules for multiplying and dividing fractions.
Step 1: Simplify each fraction:
- The fraction 5/4 cannot be simplified any further.
- The fraction 7/9 cannot be simplified any further.
- The fraction 7/2 can be simplified to 3 1/2.
Step 2: Perform the division operation:
9 ÷ (5/4) = 9 * (4/5) = 36/5
Step 3: Perform the multiplication operation:
36/5 * (7/9) * (-5) * (3 1/2)
Step 4: Multiply the numerators and denominators:
(36 * 7 * -5 * 7) / (5 * 9 * 2)
Step 5: Perform the arithmetic calculations:
(-1,260) / 90 = -14
Therefore, the answer to the expression (9)÷(5/4)×(7/9)×(−5)÷(7/2) is -14.