1.26666666667 as a Fraction

Answer

The answer for 1.26666666667 as a fraction will be 19/15.

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 a fraction for easy calculation. Here, 1.26666666667 can be split as 1 + 0.26666666667. We will focus on converting 0.26666666667 to a fraction.

Step 2: Notice that 0.26666666667 is a repeating decimal. Let x = 0.26666666667. Multiply both sides by 10 to shift the decimal point: 10x = 2.6666666667.

Step 3: Multiply by 10 again to isolate the repeating part: 100x = 26.666666667.

Step 4: Subtract the first equation from the second: 100x - 10x = 26.666666667 - 2.666666667 90x = 24 x = 24/90 x = 4/15 after simplifying.

Step 5: Now combine with the whole number part: 1 + 4/15 = 15/15 + 4/15 = 19/15.

Thus, 1.26666666667 can be written as a fraction 19/15.

• 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.

• Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.

• 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.