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Last updated on March 5th, 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 23 represents how many parts out of the whole. The denominator (number below) shows how many parts make up the whole, here it is 4. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point 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.
23/4 in decimals can be written as 5.75. It is a terminating decimal, meaning it ends without repeating.
To get 23/4 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 (23) will be taken as the dividend and the denominator (4) will be taken as the divisor.
Step 2: Divide 23 by 4.
Step 3: 4 goes into 23 five times (4 × 5 = 20), so write 5 in the quotient place and subtract 20 from 23, which gives 3.
Step 4: Bring down a 0 to the right of 3, making it 30, and continue the division.
Step 5: 4 goes into 30 seven times (4 × 7 = 28), so write 7 in the quotient place and subtract 28 from 30, which gives 2.
Step 6: Bring down another 0 to the right of 2, making it 20, and continue the division.
Step 7: 4 goes into 20 five times (4 × 5 = 20), so write 5 in the quotient place. The remainder is 0, so the division ends here.
The answer for 23/4 as a decimal will be 5.75.