Math is NOT my field, but in general:
The reciprocal of a fraction is obtained by interchanging the numerator and the denominator, i.e. by inverting the fraction.
The reciprocal of 1/6 is 6/1. Looking at the 6, 2 X 3 = 6. But when it comes to fractions, I'm lost!
Sra
One Number Is 3 Times Another Number. If The Sum Of The Reciprocals Of The Numbers Is 1/6, What Are The Two Numbers?
2 answers
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x = 3y
1/x + 1/y = 1/6
Substitute 3y for x in the second equation and solve for y. Put that value in the first equation to find x. Check by putting both values into the second equation.
x = 3y
1/x + 1/y = 1/6
Substitute 3y for x in the second equation and solve for y. Put that value in the first equation to find x. Check by putting both values into the second equation.