1.16666 as a Fraction

Answer

The answer for 1.16666 as a fraction will be 7/6.

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, 1.16666 is the number on the numerator and the base number 1 will be the denominator. Then, 1.16666 becomes 1.16666/1.

Step 2: To convert a repeating decimal to a fraction, set x = 1.16666... Multiply both sides by 10 to move the decimal point: 10x = 11.6666...

Step 3: Subtract the original equation from this new equation: 10x - x = 11.6666... - 1.1666... 9x = 10.5

Step 4: Solve for x by dividing both sides by 9: x = 10.5/9 = 21/18

Step 5: Simplify the fraction by dividing the numerator and denominator by 3: 21/18 = 7/6

Thus, 1.16666 can be written as a fraction 7/6.

• 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 fraction in which a figure or group of figures is repeated indefinitely.

• 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.