0.07142857142 as a Fraction

Answer

The answer for 0.07142857142 as a fraction is 5/70.

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, 0.07142857142 is the number on the numerator and the base number 1 will be the denominator. Then, 0.07142857142 becomes 0.07142857142/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 100000000 (because there are 11 decimal places). 0.07142857142/1 × 100000000/100000000 = 7142857.142/100000000

Step 3: Here, the fraction is simplified by dividing the numerator and denominator by the greatest common divisor (GCD). However, to make the fraction simpler, notice the repeating decimal and use fraction simplification techniques. 7142857.142 divided by 1428571428571 equals a rational repeating fraction. Thus, 0.07142857142 is approximately represented as 5/70.

Thus, 0.07142857142 can be written as a fraction approximately 5/70.

• 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.