Hi, a)let 0.24 be x. 100x(two zeros because two decimals are repeating)=24.24 ̅(24 is repeating) Now subtract 100x-x on both sides. This forms an equation. 100x-x=24.24(.24 is repeating) -0.24(.24 is repeating) 99x=24 x=24/99 simplest form=8/33 b)Follow the same rule. let 0.24(4 is repeating) be x Since there is two decimals in total , 100x=24.44(4 is repeating) But since there is one decimal that is repeating, there will be one zero. Hence it will become 100x-10x= 24.4(4 is repeating)-2.4(4 is repeating and get the decimal point closest to the repeating decimal) 90x=22 x=22/90 Simplest form=11/45 c) 0.24 is expressed as 8/25 0.24/1 24/100(make it a whole number and add no. of zeros based on how many decimals places you move.) Simplest form=6/25 Hope this helps you.
