1.58333 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. A fraction is one such type. It is always represented in the form of p/q, where p is the numerator and q is the denominator. Fractions represent a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2; numbers in decimal form are expressed with a decimal point (.), for example, 1.58333. We are going to learn how to convert a decimal to a fraction.

1.58333 as a Fraction for US Students

What is 1.58333 as a Fraction?

Answer

The answer for 1.58333 as a fraction is 19/12.

Explanation

Converting a decimal to a fraction is a task that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, separate the whole number from the decimal. Here, 1 is the whole number, and 0.58333 is the decimal part. Treat the decimal part separately as 0.58333/1.

Step 2: To convert 0.58333 to a fraction, recognize it as a repeating decimal (0.58333... = 0.5833̅). Multiply both the numerator and denominator by 100000 (since the decimal repeats every 5 digits): 0.58333/1 × 100000/100000 = 58333/100000

Step 3: Here, 1 is the GCD of 58333 and 100000. To simplify the fraction, divide the numerator and denominator by 1: 58333/100000 = 58333/100000

Step 4: Combine the fraction with the whole number: 1 + 58333/100000 = 1 + 7/12 = 19/12

Thus, 1.58333 can be written as the fraction 19/12.

Important Glossaries for 1.58333 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.
Repeating Decimal: A decimal fraction in which a digit or group of digits repeats infinitely.
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.