0.38888888888 as a Fraction

Answer

The answer for 0.38888888888 as a fraction is approximately 35/90, which simplifies to 7/18.

Explanation

Converting a repeating decimal to a fraction involves recognizing the repeating part and using algebra to derive the fraction. You can follow the steps mentioned below to find the answer.

Step 1: Let x = 0.38888888888... The repeating part is 8.

Step 2: Multiply both sides by 10 to shift the decimal point: 10x = 3.8888888888...

Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 3.8888888888... - 0.38888888888... which gives 9x = 3.5

Step 4: Solve for x by dividing both sides by 9: x = 3.5 / 9 = 35/90. Step 5: Simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 5: 35/90 = 7/18.

Thus, 0.38888888888 can be written as a fraction 7/18.

• 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.