bot what is (−4)×(7/5)×(−3/4)÷(7/15)
To calculate (-4) × (7/5) × (-3/4) ÷ (7/15), we can simplify the expression step by step.
First, we multiply the numerators together followed by the denominators:
(-4) × (7) × (-3) ÷ (5) × (4) × (7) ÷ (15)
Next, we notice that there are common factors that can be canceled out. We can cancel out two 4s, a 7, and a -7:
(-1) × (-3) ÷ (5) × (1) ÷ (15)
Finally, we multiply the remaining numerators and denominators:
3 ÷ (5) ÷ (15)
Now, we need to divide 3 by 5 and then divide the result by 15:
3/5 ÷ 15 = 3/5 × 1/15 = 3/75 = 1/25
Therefore, (-4) × (7/5) × (-3/4) ÷ (7/15) simplifies to 1/25.
To simplify the expression (-4) × (7/5) × (-3/4) ÷ (7/15), follow these steps:
Step 1: Multiply (-4) and (7/5) together.
(-4) × (7/5) = -28/5
Step 2: Multiply the result from Step 1 by (-3/4).
-28/5 × (-3/4) = (28/5) × (3/4) = 84/20
Step 3: Divide the result from Step 2 by (7/15).
(84/20) ÷ (7/15) = (84/20) × (15/7) = 1260/140
Step 4: Simplify the fraction if possible.
1260/140 = 9
Therefore, the expression (-4) × (7/5) × (-3/4) ÷ (7/15) simplifies to 9.
To evaluate the expression (−4)×(7/5)×(−3/4)÷(7/15), you need to follow the order of operations or the BIDMAS rule (Brackets, Indices, Division and Multiplication, and Addition and Subtraction) to get the correct answer step by step.
Step 1: Simplify any multiplication or division within parentheses or brackets.
There are no parentheses or brackets in this expression, so we move to the next step.
Step 2: Evaluate any multiplication or division from left to right.
Starting from the left side of the expression:
(−4) × (7/5) = -28/5
Step 3: Simplify any multiplication or division from left to right.
Next, we multiply -28/5 with -3/4:
(-28/5) × (-3/4) = 84/20
Step 4: Simplify any multiplication or division from left to right.
Finally, we divide 84/20 by 7/15:
(84/20) ÷ (7/15) = (84/20) × (15/7)
Step 5: Simplify the multiplication.
Now, multiply the fractions:
(84/20) × (15/7) = (84 × 15) / (20 × 7) = 1260/140
Step 6: Simplify the fraction.
Now, simplify the fraction if possible:
1260/140 = 9
So, the result of the expression (−4)×(7/5)×(−3/4)÷(7/15) is 9.