0.56666666666 as a Fraction

Answer The answer for 0.56666666666 as a fraction is 17/30. Explanation Converting a decimal to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer. Step 1: Recognize that 0.56666666666 is a repeating decimal with the repeating part being '6'. Let x = 0.56666666666... Step 2: Multiply x by 10 to shift the decimal point: 10x = 5.6666666666... Step 3: Multiply x by 100 to shift the decimal point past the repeating part: 100x = 56.6666666666... Step 4: Subtract the equation in Step 2 from the equation in Step 3: 100x - 10x = 56.6666666666... - 5.6666666666... 90x = 51 Step 5: Solve for x: x = 51/90 Step 6: Simplify the fraction by dividing the numerator and the denominator by their GCD, which is 3: 51/90 = 17/30 Thus, 0.56666666666 can be written as a fraction 17/30.

Fraction: A numerical quantity that is not a whole number, representing a part of a whole. Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part. Numerator: The top part of a fraction, indicating how many parts of the whole are being considered. Denominator: The bottom part of a fraction, showing how many parts make up a whole. Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.