3.16666 as a Fraction

Answer

The answer for 3.16666 as a fraction will be 19/6.

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, 3.16666 is the number on the numerator and the base number 1 will be the denominator. Then, 3.16666 becomes 3.16666/1.

Step 2: Since 3.16666 is a repeating decimal, we can express the repeating part as a fraction. Let x = 3.16666. Multiply both sides by 10000 to shift the repeating part: 10000x = 31666.66...

Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10000x - 10x = 31666.66... - 31.6666... 9990x = 31635

Step 4: Solve for x: x = 31635/9990

Step 5: Simplify the fraction by dividing both the numerator and denominator by their GCD, which is 15: 31635/9990 = 2109/666

Step 6: Further simplify by dividing both by 3: 2109/666 = 703/222

Step 7: Convert back to a mixed number: 703/222 = 3 19/222

Thus, 3.16666 can be written as the fraction 19/6.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

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

• Mixed Number: A whole number and a fraction combined into one "mixed" number.

• Simplifying: The process of reducing a fraction to its simplest form.

• Greatest Common Divisor (GCD): The largest number that divides two or more numbers without a remainder.