Last updated on May 26th, 2025
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, numerator (number on the top) here, 15 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 19. 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 fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.
Answer 15/19 in decimals can be written as approximately 0.78947. It is a non-repeating decimal. Explanation To get 15/19 in decimal, we will use the division method. Here, as 15 is smaller than 19, we will take the help of decimal method which will give us approximately 0.78947. Let's see the step by step breakdown of the process: Step 1: Identify the numerator and denominator because numerator (15) will be taken as dividend and denominator (19) will be taken as divisor. Step 2: As 15 is smaller than 19, it can't be divided directly, so we will add a decimal point in the quotient place and bring down a 0, making it 150. Step 3: Now that it is 150, we divide it by 19. Let's see how many times 19 fits into 150. Step 4: 19 goes into 150 about 7 times, as 19 × 7 = 133. We write 7 in the quotient place and subtract 133 from 150, which gives 17. Step 5: Bring down another 0 to make it 170 and divide by 19, repeating the process. This division process continues, and the decimal does not repeat infinitely, making it a non-repeating decimal. The approximate result for 15/19 as a decimal is 0.78947.
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. Non-repeating Decimal: A decimal that does not repeat the same sequence of digits infinitely.