6.69230769231 as a Fraction

Answer

The answer for 6.69230769231 as a fraction will be 87/13.

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, 6.69230769231 is the number on the numerator, and the base number 1 will be the denominator. Then, 6.69230769231 becomes 6.69230769231/1.

Step 2: Recognize that 6.69230769231 has a repeating part "692307." This can be represented as a fraction.

Step 3: To convert the repeating decimal to a fraction, set x = 6.69230769231. Multiply both sides by 1000000 (to move the repeat one cycle) to get 1000000x = 6692307.69231. Then subtract the original equation from this result: 1000000x - x = 6692307 - 6, resulting in 999999x = 6692301.

Step 4: Solve for x by dividing both sides by 999999: x = 6692301/999999. Step 5: Simplify the fraction 6692301/999999 to its simplest form, which is 87/13.

Thus, 6.69230769231 can be written as a fraction 87/13.

• 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 number 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.