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102 LearnersLast updated on March 17th, 2025
31/4 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of the whole and has two components: the numerator (the number on top) and the denominator (the number below). In this case, 31 is the numerator, indicating the parts being considered, while 4 is the denominator, representing the total parts that make up the whole. A decimal expresses a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. Numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
What is 31/4 as a decimal?
Answer
31/4 as a decimal can be written as 7.75. It is a terminating decimal, meaning it ends and does not repeat infinitely.
Explanation
To convert 31/4 into a decimal, we will use the division method. Here, since 31 is larger than 4, we can directly use division to find the decimal form.
Step 1: Identify the numerator and denominator. The numerator (31) will be taken as the dividend, and the denominator (4) will be the divisor.
Step 2: Divide 31 by 4. 31 divided by 4 gives 7 with a remainder.
Step 3: Multiply 7 by 4 to get 28. Subtract 28 from 31, which leaves a remainder of 3.
Step 4: Bring down a 0 to the remainder to make it 30. Divide 30 by 4 to get 7.5.
Step 5: Multiply 7.5 by 4 to get 30. Subtract 30 from 30, which leaves no remainder. The division process ends here, and we obtain the terminating decimal of 7.75.
The answer for 31/4 as a decimal is 7.75.
Important Glossaries for 31/4 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.
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