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Last updated on March 3rd, 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: the numerator (the number on the top), here 19, which represents how many parts out of the whole are considered. The denominator (the number below) shows how many parts make up the whole; here, it is 25. 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.
19/25 in decimals can be written as 0.76. It is a terminating decimal, which means it ends after a finite number of decimal places.
To convert 19/25 into a decimal, we will use the division method. Here, 19 is smaller than 25, so we can directly divide 19 by 25 using the decimal method.
Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator. The numerator (19) will be taken as the dividend, and the denominator (25) will be taken as the divisor.
Step 2: As 19 is smaller than 25, we will use decimal division. We add a decimal point to the quotient and append 0 to the dividend, making it 190.
Step 3: Now, divide 190 by 25. Let's see how many times 25 fits into 190.
Step 4: 25 goes into 190 exactly 7 times, since 25 × 7 = 175. Subtract 175 from 190 to get 15.
Step 5: Bring down another 0 in the dividend place, turning 15 into 150. Divide 150 by 25.
Step 6: 25 goes into 150 exactly 6 times, since 25 × 6 = 150. Subtract 150 from 150 to get 0. As the remainder is 0, the division process ends here.
The answer for 19/25 as a decimal is 0.76.