5/64 as a Decimal

Answer

5/64 in decimals can be written as 0.078125. It is a terminating decimal, showing it will not repeat infinitely.

Explanation

To get 5/64 in decimal, we will use the division method. Here, 5 is smaller than 64, so we will use the decimal method to get 0.078125. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (64) will be taken as the divisor.

Step 2: As 5 is smaller than 64, it can't be divided directly. We will add a decimal point in the quotient and append 0 to the dividend, making it 50.

Step 3: Now divide 50 by 64. Since 50 is less than 64, add another 0 to make it 500.

Step 4: Determine how many times 64 fits into 500. It fits 7 times (since 64 × 7 = 448). Write 7 in the quotient.

Step 5: Subtract 448 from 500, giving 52. Bring down another 0 to make it 520. Divide 520 by 64, which fits 8 times (64 × 8 = 512).

Step 6: Subtract 512 from 520, giving 8. Bring down another 0 to make it 80. Divide 80 by 64, which fits 1 time (64 × 1 = 64).

Step 7: Subtract 64 from 80, giving 16. Bring down another 0 to make it 160. Divide 160 by 64, which fits 2 times (64 × 2 = 128).

Step 8: Subtract 128 from 160, giving 32. Bring down another 0 to make it 320. Divide 320 by 64, which fits 5 times (64 × 5 = 320). After performing these steps, we end up with a remainder of 0, which indicates that 5/64 is a terminating decimal.

The answer for 5/64 as a decimal is 0.078125.

• 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.