55/64 as a Decimal

Answer

55/64 as a decimal is approximately 0.859375. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 55/64 into a decimal, we will use the division method. Since 55 is smaller than 64, we will use the decimal method to perform the division. Let's break down the steps of the process:

Step 1: Identify the numerator and denominator. The numerator (55) will be the dividend, and the denominator (64) will be the divisor.

Step 2: Since 55 is smaller than 64, we can't divide it directly, so we will introduce a decimal point in the quotient and add 0 to the dividend, making it 550.

Step 3: Now, divide 550 by 64. Determine how many times 64 can fit into 550.

Step 4: 64 goes into 550 eight times (64 × 8 = 512). Write 8 in the quotient, and subtract 512 from 550, leaving a remainder of 38.

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

Step 6: 64 goes into 380 five times (64 × 5 = 320). Write 5 in the quotient, and subtract 320 from 380, leaving a remainder of 60.

Step 7: Bring down another 0 to make it 600, and divide by 64.

Step 8: 64 goes into 600 nine times (64 × 9 = 576). Write 9 in the quotient, and subtract 576 from 600, leaving a remainder of 24.

Step 9: Bring down another 0 to make it 240, and divide by 64.

Step 10: 64 goes into 240 three times (64 × 3 = 192). Write 3 in the quotient, and subtract 192 from 240, leaving a remainder of 48.

Step 11: Bring down another 0 to make it 480, and divide by 64.

Step 12: 64 goes into 480 seven times (64 × 7 = 448). Write 7 in the quotient, and subtract 448 from 480, leaving a remainder of 32.

Step 13: Bring down another 0 to make it 320, and divide by 64.

Step 14: 64 goes into 320 five times (64 × 5 = 320). Write 5 in the quotient, and subtract 320 from 320, leaving a remainder of 0. Now, the division process ends as we have reached a remainder of 0.

The decimal representation of 55/64 is 0.859375.

• 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.