3.55555 as a Fraction

Answer

The answer for 3.55555 as a fraction will be 3200/899.

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: Start by setting the decimal number over 1 to create a fraction. Here, 3.55555 becomes 3.55555/1.

Step 2: To eliminate the decimal, multiply both the numerator and denominator by 100,000 (because there are five decimal places). 3.55555/1 × 100,000/100,000 = 355,555/100,000

Step 3: Simplify the fraction by finding the greatest common divisor (GCD) of 355,555 and 100,000. Here, the GCD is 111.

Step 4: Divide both the numerator and the denominator by the GCD to simplify the fraction. 355,555 ÷ 111 = 3200 100,000 ÷ 111 = 899

Thus, 3.55555 can be written as a fraction 3200/899.

• 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.