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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 of the whole. It has two parts: the numerator (number on the top), here 38, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 9. 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.
38/9 in decimals can be written as 4.2222..... It is a recurring decimal, indicating it will repeat the same digit infinitely.
To get 38/9 in decimal, we will use the division method. Here, as 38 is greater than 9, we can perform the division directly. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (38) will be taken as the dividend, and the denominator (9) will be taken as the divisor.
Step 2: Divide 38 by 9.
Step 3: 9 goes into 38 four times since 9 × 4 = 36. Write 4 in the quotient place.
Step 4: Subtract 36 from 38, which gives a remainder of 2.
Step 5: Bring down a 0, making it 20, and divide by 9.
Step 6: 9 goes into 20 two times since 9 × 2 = 18. Write 2 in the quotient place.
Step 7: Subtract 18 from 20, which gives a remainder of 2, and bring down another 0.
Step 8: Repeat the process; you will keep getting 2 as a remainder, adding 2s to the quotient. The division process continues without the remainder reaching 0, so this process is called a recurring decimal.
The answer for 38/9 as a decimal will be 4.2222......