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112 LearnersLast updated on March 3rd, 2025
31/80 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: the numerator (number on the top), here 31, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 80. 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
What is 31/80 as a decimal?
Answer
31/80 in decimals can be written as 0.3875. It is a terminating decimal, meaning it does not repeat infinitely.
Explanation
To convert 31/80 into decimal, we use the division method. Let's see the step-by-step breakdown of the process.
Step 1: Identify the numerator and denominator. The numerator (31) will be taken as the dividend and the denominator (80) will be taken as the divisor.
Step 2: Since 31 is smaller than 80, we will take the help of decimals. We will add a decimal point in the quotient and add 0 to the dividend, making it 310.
Step 3: Now divide 310 by 80. Determine how many times 80 fits into 310.
Step 4: 80 times 3 is 240, which is the largest multiple of 80 less than 310. Subtract 240 from 310 to get 70.
Step 5: Bring down another 0, making it 700, and divide by 80. 80 fits into 700 eight times (80 × 8 = 640). Subtract 640 from 700 to get 60.
Step 6: Bring down another 0 to make it 600 and divide by 80. 80 fits into 600 seven times (80 × 7 = 560). Subtract 560 from 600 to get 40.
Step 7: Bring down another 0 to make it 400 and divide by 80. 80 fits into 400 five times (80 × 5 = 400), leaving no remainder.
Thus, the answer for 31/80 as a decimal will be 0.3875.
Important Glossaries for 31/80 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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