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Use the properties of operations and rules for multiplying and dividing signed numbers to solve: (−4)×(7/5)×(−3/4)÷(7/15)
14775 Start Fraction 147 over 75 End Fraction 9 9 −14775
To solve the expression (-4) × (7/5) × (-3/4) ÷ (7/15), we can follow the order of operations, which is parentheses first, then multiplication and division, and finally addition and subtraction.
First, let's simplify the multiplication:
(-4) × (7/5) = -28/5
Next, let's simplify the division:
(-28/5) ÷ (7/15) = (-28/5) × (15/7)
Multiplying the numerators together gives (-28) × (15) = -420
Multiplying the denominators together gives (5) × (7) = 35
So, (-28/5) ÷ (7/15) simplifies to -420/35.
Now, let's simplify the final fraction:
-420/35 can be reduced by dividing both the numerator and the denominator by their greatest common divisor, which is 35.
-420/35 = -12/1 = -12
Therefore, the solution to the expression (-4) × (7/5) × (-3/4) ÷ (7/15) is -12.
That aint one of the options
Apologies for the confusion. Let's go through the steps again:
(-4) × (7/5) × (-3/4) ÷ (7/15)
Multiply the whole numbers first:
-4 × -3 = 12
Now let's focus on the fractions:
(7/5) × (7/15) = (7 × 7) / (5 × 15) = 49 / 75
Finally, we multiply the whole number with the fraction:
12 × (49/75) = (12 × 49) / 75 = 588 / 75
To simplify further, we can divide both the numerator and denominator by their greatest common divisor, which is 3:
588 / 75 = (588 ÷ 3) / (75 ÷ 3) = 196 / 25
So, (-4) × (7/5) × (-3/4) ÷ (7/15) simplifies to 196/25.
Therefore, the solution to the expression is 196/25.
U sure
Apologies once again for the incorrect response. Let's go through the steps again:
(-4) × (7/5) × (-3/4) ÷ (7/15)
First, let's multiply the whole numbers:
(-4) × (-3) = 12
Now, let's multiply the fractions:
(7/5) × (-3/4) = (7 × -3) / (5 × 4) = -21 / 20
Next, let's divide the result by another fraction:
(-21/20) ÷ (7/15) = (-21/20) × (15/7)
Multiplying the numerators gives: (-21) × (15) = -315
Multiplying the denominators gives: (20) × (7) = 140
Thus, (-21/20) ÷ (7/15) simplifies to (-315/140).
Finally, let's simplify the fraction:
(-315/140) can be reduced by dividing both the numerator and the denominator by their greatest common divisor, which is 35.
(-315/140) ÷ 35 = (-9/4) ÷ 1 = -9/4
Therefore, the solution to the expression is -9/4 or -2.25.