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Last updated on March 11th, 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 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole; here, it is 4. A decimal is a way to represent a number that is not whole, using a (.) 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.
19/4 in decimal can be written as 4.75. It is a terminating decimal, meaning it does not repeat infinitely.
To get 19/4 in decimal, we will use the division method. 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 (4) will be taken as the divisor.
Step 2: Divide 19 by 4.
Step 3: 4 goes into 19 four times (4 × 4 = 16). Write 4 in the quotient place and subtract 16 from 19, which gives 3.
Step 4: Bring down a 0 to make it 30.
Step 5: 4 goes into 30 seven times (4 × 7 = 28). Write 7 in the quotient place after the decimal and subtract 28 from 30, which gives 2.
Step 6: Bring down another 0 to make it 20. Step 7: 4 goes into 20 five times (4 × 5 = 20) and subtract 20 from 20, which gives 0.
The division process terminates here, so the answer for 19/4 as a decimal is 4.75.