1.14286 as a Fraction

Professor Greenline Explaining Math Concepts

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Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. Fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2, the numbers in decimal are expressed with a decimal point (.), For example, 1.14286, we are going to learn how to convert a decimal to a fraction.

What is 1.14286 as a Fraction?

$1.14286 as a fraction$

Answer

The answer for 1.14286 as a fraction will be 8/7.

Explanation

Converting a decimal to a fraction can be done easily by following a systematic approach. You can follow the steps mentioned below to find the answer.

Step 1: Separate the whole number part and the decimal part. Here, the whole number is 1 and the decimal part is 0.14286.

Step 2: Write the decimal part as a fraction. Since 0.14286 has 5 decimal places, it can be written as 14286/100000.

Step 3: Combine the whole number and the fractional part. So, we have 1 + 14286/100000.

Step 4: Convert the whole number to a fraction with the same denominator: 100000/100000 + 14286/100000 = 114286/100000.

Step 5: Simplify the fraction by finding the greatest common divisor (GCD) of 114286 and 100000, which is 14286. 114286/100000 ÷ 14286/14286 = 8/7

Thus, 1.14286 can be written as a fraction 8/7.

Important Glossaries for 1.14286 as a Fraction

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 sequence of digits repeats infinitely.