by what number should-4 /35 be multiplied to get 8 / 105
Answers
-4/35×X=8/105
X=8/105×35/-4
X=-2/3
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Concept:
Mathematical expression is a mathematical relation or statement or term involves various mathematical quantities, numbers, mathematical operations, variable and other mathematical components etc.
We have to replace the required number by a variable and have to form suitable mathematical expression using the conditions.
Given:
Given that product of one unknown number and -4/35 is 8/105.
Find:
The value of that above unknown number.
Solution:
Let x should be multiplied with -4/35 in order to get the value of 8/105.
So the according to given condition the mathematical expression is,
x*(-4/35) = 8/105
On solving we get the value of x which is the required answer.
-4x/35 = 8/105
-4x = (8/105)*35, multiplying 35 to both sides
-4x = 8/3
-x = 8/(3*4), on dividing 4 from both sides.
-x = 2/3
x = 2/3, multiplying -1 to both sides
Hence 2/3 should be multiplied with -4/35 wo get 8/105.
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