37/64 as a Decimal

Answer

37/64 in decimals can be written as 0.578125. It is a terminating decimal, meaning it does not repeat.

Explanation

To convert 37/64 to decimal, we will use the division method. Here, as 37 is smaller than 64, we will perform long division to find the decimal representation. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (37) will be taken as the dividend, and the denominator (64) will be taken as the divisor.

Step 2: As 37 is smaller than 64, it can't be divided directly, so we will add a decimal point and 0 to the dividend, making it 370.

Step 3: Divide 370 by 64. Determine how many times 64 fits into 370.

Step 4: 64 fits into 370 five times (5 × 64 = 320). Subtract 320 from 370 to get 50.

Step 5: Bring down another 0 to get 500. Divide 500 by 64, which is 7 times (7 × 64 = 448). Subtract 448 from 500 to get 52.

Step 6: Bring down another 0 to get 520. Divide 520 by 64, which is 8 times (8 × 64 = 512). Subtract 512 from 520 to get 8.

Step 7: Bring down another 0 to get 80. Divide 80 by 64, which is 1 time (1 × 64 = 64). Subtract 64 from 80 to get 16.

Step 8: Bring down another 0 to get 160. Divide 160 by 64, which is 2 times (2 × 64 = 128). Subtract 128 from 160 to get 32.

Step 9: Bring down another 0 to get 320. Divide 320 by 64, which is 5 times (5 × 64 = 320). Subtract 320 from 320 to get 0.

The answer for 37/64 as a decimal is 0.578125.

• 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.