Represent x = 0.0154 recurring as a fraction.
To represent x = 0.0154 recurring as a fraction you need to eliminate the recurring element. You do this by finding the nearest multiple of x with the same recurring decimal element. For example, multiplying x by 10,000 gives 10,000x = 154.0154 recurring.
x and 10,000x both have the same recurring element so you can eliminate this by subtracting x from 10,000x.
10,000x -x = 9,999x
154.0154 - 0.0154 = 154
So 9,999x = 154
Divide both sides by 9,999 to find x
x = 154/9999
LF
Related Maths GCSE answers
All answers ▸Finding the length of the side opposite a known angle while having the hypotenuse length known
P is a point on the circle with equation x^2 + y^2 = 80. P has x-coordinate 4 and is below the x-axis.Work out the equation of the tangent to the circle at P.
Factorise 7x^2+4x-3
How do you solve quadratic equations?