1.36111111111 as a Fraction

Answer

The answer for 1.36111111111 as a fraction will be 122/89.

Explanation

Converting a decimal to a fraction is a task 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, 1.36111111111 is the number on the numerator and the base number 1 will be the denominator. Then, 1.36111111111 becomes 1.36111111111/1.

Step 2: Identify the repeating part in the decimal. The decimal 1.36111111111 has the repeating part "1". To eliminate the repeating part, multiply both sides by a power of 10 that makes the repeating decimal shift to the right. In this case, multiply by 100000000000 to get 136111111111.

Step 3: Subtract the non-repeating part to solve for the fractional value. The non-repeating part is 1.36, which can be converted to 136/100. The repeating decimal part is 0.00111111111.

Step 4: Convert the repeating decimal to a fraction. 0.00111111111 can be expressed as 1/900.

Step 5: Add the fractions derived from the repeating and non-repeating parts: 136/100 + 1/900 = 122/89.

Thus, 1.36111111111 can be written as a fraction 122/89.

• 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.