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The product of two numbers is -16/35 . If one of the number is -15/14 what is the other number?
a)16/75
b)32/75
c)64/75
d)8/15
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The product of two numbers is -16/35 . If one of the number is -15/14 ...
Let the number be x.
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The product of two numbers is -16/35 . If one of the number is -15/14 ...
To find the other number, we can use the fact that the product of two numbers is equal to the given fraction -16/35. Let's call the other number x.
Given:
Product of two numbers = -16/35
One number = -15/14
To find:
The other number
Let's set up the equation using the given information:
(-15/14) * x = -16/35
We can solve this equation to find the value of x.
Solving the equation:
To get rid of the fraction, we can multiply both sides of the equation by the denominators of the fractions:
(-15/14) * x * (35/1) = (-16/35) * (35/1)
Simplifying the equation:
(-15 * 35 * x) / (14 * 1) = (-16 * 35) / (35 * 1)
Cancelling out common factors:
(-15 * 5 * x) / (2 * 7) = (-16 * 1) / (1 * 1)
(-75x) / 14 = -16
Now, let's isolate x by multiplying both sides of the equation by 14:
14 * (-75x) / 14 = -16 * 14
Cancelling out 14 on the left side:
-75x = -224
Finally, to solve for x, divide both sides of the equation by -75:
x = -224 / -75
Simplifying the division:
x = 224/75
Therefore, the other number is 224/75, which can be simplified to 32/75.
So, the correct answer is option B) 32/75.
Given:
Product of two numbers = -16/35
One number = -15/14
To find:
The other number
Let's set up the equation using the given information:
(-15/14) * x = -16/35
We can solve this equation to find the value of x.
Solving the equation:
To get rid of the fraction, we can multiply both sides of the equation by the denominators of the fractions:
(-15/14) * x * (35/1) = (-16/35) * (35/1)
Simplifying the equation:
(-15 * 35 * x) / (14 * 1) = (-16 * 35) / (35 * 1)
Cancelling out common factors:
(-15 * 5 * x) / (2 * 7) = (-16 * 1) / (1 * 1)
(-75x) / 14 = -16
Now, let's isolate x by multiplying both sides of the equation by 14:
14 * (-75x) / 14 = -16 * 14
Cancelling out 14 on the left side:
-75x = -224
Finally, to solve for x, divide both sides of the equation by -75:
x = -224 / -75
Simplifying the division:
x = 224/75
Therefore, the other number is 224/75, which can be simplified to 32/75.
So, the correct answer is option B) 32/75.
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