Students will be able to:
write repeating decimals as fractions.
Repeating decimals can be represented as an equivalent rational number in fraction form.
Because repeating decimals are rational numbers, you can write them in fraction form.
STEP 1 Assign a variable to represent the repeating decimal.
STEP 2 Write an equation: variable = decimal.
STEP 3 Multiply each side of the equation by 10^d, where d is the number of repeating digits in the repeating decimal.
STEP 4 Subtract equivalent expressions of the variable and the repeating decimal from each side of the equation.
STEP 5 Solve for the variable. Write an equivalent fraction so that the numerator and denominator are integers, if necessary.