23/64 as a decimal

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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, 23 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 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 23/64 as a decimal?

$23/64 as a decimal$

Answer

23/64 in decimal can be written as 0.359375. It is a terminating decimal, meaning it ends after a certain number of digits.

Explanation

To convert 23/64 into a decimal, we will use the division method. Here, 23 is smaller than 64, so we will need to use decimal division, which will give us 0.359375. Let's see the step-by-step breakdown of the process.

Step 1: Identify the numerator and denominator because the numerator (23) will be taken as the dividend and the denominator (64) will be taken as the divisor.

Step 2: As 23 is smaller than 64, it can't be divided without a decimal. We will add 0 to the dividend, which will make 23 as 230 and add a decimal point in the quotient place.

Step 3: Now that it is 230, we can divide it by 64. Let's see how many times 64 fits into 230.

Step 4: 64 × 3 = 192 (the closest multiple of 64 that is less than 230). We write 3 in the quotient place and subtract 192 from 230, giving 38.

Step 5: Bring down another 0 in the dividend place to make it 380, and repeat the division process.

Step 6: 64 fits into 380 five times (64 × 5 = 320). We subtract 320 from 380, leaving 60.

Step 7: Bring down another 0 to make 600. 64 fits into 600 nine times (64 × 9 = 576).

Step 8: Subtract 576 from 600, leaving 24. Bring down another 0 to make 240. 64 fits into 240 three times (64 × 3 = 192).

Step 9: Subtract 192 from 240, leaving 48. Bring down another 0 to make 480. 64 fits into 480 seven times (64 × 7 = 448).

Step 10: Subtract 448 from 480, leaving 32. Bring down another 0 to make 320. 64 fits into 320 five times (64 × 5 = 320), leaving no remainder.

The answer for 23/64 as a decimal is 0.359375.

Important Glossaries for 23/64 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.