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Last updated on March 5th, 2025
This is a straightforward question about decimal conversion. Firstly, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on top), which represents how many parts out of the whole we have; in this case, 19. The denominator (the number below) shows how many parts make up the whole, which in this case is 3. A decimal is a way to represent numbers that are not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
19/3 in decimals can be written as 6.33333... It is a recurring decimal, indicating that the same digit will repeat infinitely.
To convert 19/3 to a decimal, we will use long division. Since 19 is larger than 3, we can divide directly.
Let's break down the process step by step:
Step 1: Identify the numerator and denominator; the numerator (19) will be the dividend, and the denominator (3) will be the divisor.
Step 2: Divide 19 by 3. The closest multiple of 3 less than 19 is 18 (3 x 6 = 18).
Step 3: Write 6 in the quotient place and subtract 18 from 19, leaving a remainder of 1.
Step 4: Bring down a 0 to the remainder, making it 10, and continue the division process.
Step 5: Divide 10 by 3. The closest multiple of 3 less than 10 is 9 (3 x 3 = 9). Subtract 9 from 10, leaving a remainder of 1.
Step 6: Repeat the process of bringing down a 0 and dividing, which will continually result in a remainder of 1. This process results in a recurring decimal.
The answer for 19/3 as a decimal is 6.3333...