I am trying to figure out 1.5cm times what equals 1/6th squared

Answer 1

Use "x" as a variable for the number we need to find

Therefore: 1.5x= (1/6)^2

taking the square of 1/6: 1.5x=1/36

Now convert 1.5 to a fraction: (3/2)x= 1/36

Multiply both sides by the reciprocal of 3/2 (2/3)(3/2)x = (1/36)(2/3)

This leaves just x of then left side: x = (1/36)(2/3)

Then multiply numerators and denominators of fractions on the right side: x= 2/108

Simplify the fraction by factoring out a 2: x= 1/54 (0.0185 in decimal form)

Answer 2

Let the unknown number be x, then 1.5 ( x ) = ( 1/6)² = 1/36, cross multiply then

1.5 ( x ) 36 =1, 54 ( x ) = 1, Divide both sides by 54, and you get x = 1/54

Check, 1.5 ( 1/54) = 1/36 = ( 1/6)² , checks