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Last updated on March 13th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts, numerator (number on the top) here, 1 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 4. A decimal is a way to represent the 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.
19 1/4 in decimals can be written as 19.25. It is a terminating decimal, meaning it ends and does not repeat infinitely.
To get 19 1/4 in decimal, we will convert the fraction 1/4 into decimal and then add it to the whole number 19. Let's see the step-by-step breakdown of the process:
Step 1: Identify the whole number (19) and the fraction (1/4).
Step 2: Convert the fraction 1/4 into decimal form using division. Since 1 is smaller than 4, we will use the decimal method to convert it, which will give us 0.25.
Step 3: Divide 1 by 4. Since 1 is less than 4, we add a decimal point and a zero to make 10.
Step 4: Determine how many times 4 goes into 10. It goes 2 times (4 × 2 = 8), leaving a remainder of 2.
Step 5: Bring down another 0, making it 20. Divide 20 by 4, which goes exactly 5 times (4 × 5 = 20), leaving no remainder.
Step 6: The complete division gives us 0.25.
Step 7: Add the decimal result to the whole number: 19 + 0.25 = 19.25.
The answer for 19 1/4 as a decimal is 19.25.