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Last updated on March 24th, 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 19, representing how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 5. 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 those to the right represent the fractional part.
19/5 in decimals can be written as 3.8. It is a terminating decimal, meaning it does not repeat infinitely.
To convert 19/5 into a decimal, we will use the division method. Here, 19 is larger than 5, so we can directly divide without initially resorting to decimals. 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 (5) will be taken as the divisor.
Step 2: Perform the division 19 ÷ 5. 5 goes into 19 three times (3 × 5 = 15).
Step 3: Subtract 15 from 19, leaving a remainder of 4.
Step 4: Bring down a 0 to make the remainder 40.
Step 5: Divide 40 by 5, which gives 8 (8 × 5 = 40).
Step 6: Subtract 40 from 40, leaving no remainder. The division process ends here, giving us a terminating decimal.
The answer for 19/5 as a decimal will be 3.8.