1.666666666666667 as a Fraction

Answer

The answer for 1.666666666666667 as a fraction will be 5/3.

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, 1.666666666666667 is the number on the numerator and the base number 1 will be the denominator. Then, 1.666666666666667 becomes 1.666666666666667/1.

Step 2: Recognize that this is a repeating decimal. We can represent the repeating decimal part as a fraction. Let x = 1.666666666666667.

Step 3: Multiply both sides by 10 to shift the decimal point: 10x = 16.66666666666667

Step 4: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 16.66666666666667 - 1.666666666666667 9x = 15

Step 5: Solve for x by dividing both sides by 9: x = 15/9 Step 6: Simplify the fraction: 15/9 = 5/3

Thus, 1.666666666666667 can be written as a fraction 5/3.

• 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 sequence of one or more digits is repeated 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.