Express each of the following rational numbers in the form of a/b where a and b are integers and b != 0. g) -4.3 h) 114.97 i) 0.012 j) 0.123

Hey madini, good to see you again. Here are the solutions to the problems. 1. Express each of the following rational numbers in the form of (a)/(b) where a and b are integers and b ≠ 0. g) -4.3 Step 1: Write the decimal as a fraction. -4.3 = -(43)/(10) The number is already in the form (a)/(b). -(43)/(10) h) 114.97 Step 1: Let x be the repeating decimal. x = 114.979797... Step 2: Multiply by 100 to shift the decimal past one repeating block. 100x = 11497.979797... Step 3: Subtract the original equation from the new equation. 100x - x = 11497.979797... - 114.979797... 99x = 11383 Step 4: Solve for x. x = (11383)/(99) (11383)/(99) i) 0.012 Step 1: Write the decimal as a fraction. 0.012 = (12)/(1000) Step 2: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 4. (12 ÷ 4)/(1000 ÷ 4) = (3)/(250) (3)/(250) j) 0.123 Step 1: Let x be the repeating decimal. x = 0.1232323... Step 2: Multiply by 10 to shift the decimal just before the repeating block. 10x = 1.232323... Step 3: Multiply by 1000 to shift the decimal past one repeating block and the non-repeating digit. 1