What is 0.14 as a fraction?

Converting decimals to fractions may be useful in life. Let's walk through the process of converting a decimal 0.14 to a fraction.

You can select other values to familiarize yourself with the conversion guide.

Often, convert 0.139 to a fraction or 0.140625 to a fraction, depending on the task.

Understanding the decimal: “0.14”

A decimal number has an integer and fractional parts. The decimal point separates the two. The integer is to the left, the fraction to the right. For example, in 0.14, 0 is the integer and 14 is the fraction.

Conversion Explanation:

  1. For the numerator:
    • We start with the number 0.14.
    • By removing the decimal point, we derive the numerator as 14.
  2. For the denominator:
    • Each position after the decimal represents a division by 10.
    • Thus, having 2 positions after the decimal equates to 100 or 102.
  3. Factors:
    • The factors for the numerator and the denominator are numbers that can evenly divide each of them.
    • For instance, the factors of 14 include 1, 2, 7, and 14.
    • The factors of 100 comprise 1, 2, 4, 5, 10, 20, 25, 50, and 100.
  4. Greatest Common Divisor (GCD):
    • It's the largest number that can evenly divide both the numerator and the denominator.
    • In this instance, the GCD for 14 and 100 is 2.

The factors of 14 are:

1 2 7 14

The factors of 100 are:

1 2 4 5 10 20 25 50 100

Conversion formula (equation):

0.14=0.141=0.14 × 1001 × 100=14100=14÷2100÷2=750

Solution:

0.14 = 750

What is a decimal?

A decimal is a numeral system with a point. This point divides the integer from its fractional part. It provides a straightforward way to express and work with values less than one.

What is a fraction?

A fraction is a mathematical expression of two parts: the numerator on top and the denominator below. It represents partial values, showcasing relationships or comparisons.

Step-by-step solution:

  • Step 1 Let's frame our decimal as a fraction over 1. This way we will make the next steps possible. 0.14 = 0.141
  • Step 2: Decimals vary. Some are short; others are long. We will make the number of digits after the decimal point identical. For 0.14, we have three digits. This way we will increase our faction by a factor of 10 for each digit. Factor = 102 = 100
  • Step 3: Taking our coefficient, we need to equalize both the numerator and the denominator. 0.14 × 1001 × 100 = 14100
  • Step 4: Now we need to cut back the 14100. This requires seeking common divisors. Here, 2 our divisor, dividing both parts. 14 ÷ 2100 ÷ 2 = 750

Answer in mixed fraction format:

0.14 =
7
50