19/15 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top) here, 19, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole; here, it is 15. A decimal is a way to represent a number that is not whole, using a (.) or a decimal 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.

What is 19/15 as a decimal?

$19/15 as a decimal$

Answer

19/15 in decimals can be written as 1.2666….. It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To get 19/15 in decimal, we will use the division method. Here, 19 is larger than 15, so we can divide directly. Let's see the step-by-step breakdown of the process.

Step 1: Identify the numerator and denominator because the numerator (19) will be taken as the dividend and the denominator (15) will be taken as the divisor.

Step 2: Perform the division. 19 divided by 15 is 1 with a remainder.

Step 3: Subtract 15 from 19, giving us a remainder of 4.

Step 4: Bring down a 0 to make the remainder 40 and divide again by 15.

Step 5: 15 goes into 40 twice, which gives 30, leaving a remainder of 10.

Step 6: Bring down another 0 to make 100, and divide.

Step 7: 15 goes into 100 six times, which gives 90, leaving a remainder of 10, repeating the process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 19/15 as a decimal will be 1.2666……

Important Glossaries for 19/15 as a decimal

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.
Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.