0.76666 as a Fraction

Answer

The answer for 0.76666 as a fraction will be 23/30.

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: Firstly, any decimal number should be converted to fraction for easy calculation. Here, 0.76666 is the number on the numerator and the base number 1 will be the denominator. Then, 0.76666 becomes 0.76666/1.

Step 2: To express the repeating decimal part, let x = 0.76666...

Step 3: Multiply both sides by 10 to move the decimal point: 10x = 7.6666...

Step 4: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 7.6666... - 0.76666... 9x = 6.9

Step 5: Solve for x by dividing both sides by 9: x = 6.9/9

Step 6: Simplify the fraction by finding the GCD of 69 and 90, which is 3: 69/90 = 23/30

Thus, 0.76666 can be written as a fraction 23/30.

• 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.