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113 LearnersLast updated on March 11th, 2025
69/4 as a Decimal
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, 69 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 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.
What is 69/4 as a decimal?
Answer
69/4 in decimals can be written as 17.25. It is a terminating decimal, meaning it does not repeat infinitely.
Explanation
To get 69/4 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 (69) will be taken as the dividend and the denominator (4) will be taken as the divisor.
Step 2: Divide 69 by 4. The division gives us 17 as the whole number because 4 times 17 equals 68.
Step 3: Subtract 68 from 69, which gives us a remainder of 1.
Step 4: To continue the division, we can add a decimal point and bring down a 0, making it 10.
Step 5: Divide 10 by 4, which gives us 2. Write 2 in the decimal place of the quotient.
Step 6: Subtract 8 (4 times 2) from 10, which gives us a remainder of 2.
Step 7: Bring down another 0, making it 20. Divide 20 by 4, which gives us 5. Write 5 in the decimal place of the quotient. The division process ends here with the remainder as 0.
Therefore, the answer for 69/4 as a decimal is 17.25.
Important Glossaries for 69/4 as a decimal
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
- Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
- Denominator: The bottom part of a fraction, showing how many parts make up a whole.
- Terminating Decimal: A decimal that ends and does not repeat infinitely.
