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107 LearnersLast updated on March 3rd, 2025
31/40 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (number on the top), here 31, which represents how many parts out of the whole, and the denominator (number below), here 40, which shows how many parts make the whole. 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.
What is 31/40 as a decimal?
Answer
31/40 in decimal form can be written as 0.775. This is a terminating decimal, meaning it does not repeat infinitely.
Explanation
To convert 31/40 into a 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. The numerator (31) will be taken as the dividend, and the denominator (40) will be taken as the divisor.
Step 2: Perform the division 31 ÷ 40. Since 31 is smaller than 40, we will place a decimal point in the quotient and add a zero to make it 310.
Step 3: Divide 310 by 40. See how many times 40 fits into 310.
Step 4: 40 fits into 310 seven times (40 × 7 = 280). Write 7 in the quotient place. Subtract 280 from 310 to get 30.
Step 5: Bring down another zero, making it 300. Divide 300 by 40. 40 fits into 300 seven times (40 × 7 = 280). Write another 7 in the quotient place. Subtract 280 from 300 to get 20.
Step 6: Bring down another zero, making it 200. Divide 200 by 40. 40 fits into 200 exactly five times (40 × 5 = 200). Write 5 in the quotient place. Subtract 200 from 200 to get 0.
The answer for 31/40 as a decimal is 0.775.
Important Glossaries for 31/40 as a decimal
- Fraction: A numerical representation of a part of a whole, consisting of a numerator and a denominator.
- Decimal: A number that 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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