31/64 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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 64. 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 31/64 as a decimal?

$31/64 as a decimal$

Answer

31/64 in decimals can be written as 0.484375. It is a terminating decimal, indicating that it ends and does not repeat. Explanation To get 31/64 in decimal, we will use the division method. Here as 31 is smaller than 64, we will proceed with the division process to find the decimal equivalent. Let's see the step-by-step breakdown of the process

Step 1: Identify the numerator and denominator because the numerator (31) will be taken as the dividend and the denominator (64) will be taken as the divisor.

Step 2: As 31 is smaller than 64, it can't be directly divided into a whole number, so we will place a decimal point in the quotient and add 0 to the dividend, making it 310.

Step 3: Now, 310 divided by 64 gives 4 with a remainder of 54. We write 4 in the quotient place.

Step 4: Bring down another 0 to make it 540. Divide 540 by 64 to get 8 with a remainder of 28.

Step 5: Bring down another 0 to make it 280. Divide 280 by 64 to get 4 with a remainder of 24.

Step 6: Bring down another 0 to make it 240. Divide 240 by 64 to get 3 with a remainder of 48.

Step 7: Bring down another 0 to make it 480. Divide 480 by 64 to get 7 with a remainder of 32.

Step 8: Bring down another 0 to make it 320. Divide 320 by 64 to get 5 with no remainder. The division process ends here since the remainder is 0.

The answer for 31/64 as a decimal will be 0.484375.