1.29166666667 as a Fraction

Answer

The answer for 1.29166666667 as a fraction will be 31/24.

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, 1.29166666667 is the number on the numerator, and the base number 1 will be the denominator. Then, 1.29166666667 becomes 1.29166666667/1.

Step 2: Recognize that the decimal part 0.29166666667 is a repeating decimal, where 0.29166666667 repeats. A repeating decimal can be converted to a fraction by setting it equal to a variable, say x, and using algebraic manipulation.

Step 3: Let x = 0.29166666667 (repeating). Then, 1000x = 291.66666667 (repeating).

Step 4: Subtract the first equation from the second to eliminate the repeating part: 1000x - x = 291.66666667 - 0.29166666667 999x = 291.375 x = 291.375/999

Step 5: Simplify x = 7/24. Therefore, 1.29166666667 equals 1 + 7/24 = 31/24.

Thus, 1.29166666667 can be written as a fraction 31/24.

• 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.