45/64 as a Decimal

Answer

45/64 in decimals can be written as 0.703125. It is a terminating decimal.

Explanation

To get 45/64 in decimal, we will use the division method. Here, 45 is smaller than 64, so we will take the help of the decimal method, which will give us 0.703125. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (45) will be taken as the dividend and the denominator (64) will be taken as the divisor.

Step 2: As 45 is smaller than 64, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 45 into 450, and add a decimal point in the quotient place.

Step 3: Now that it is 450, we can divide it by 64. Let's see how many times 64 fits into 450.

Step 4: 64 is multiplied by 7 to get 448, which is the closest multiple to 450 without exceeding it. We will write 7 in the quotient place and subtract 448 from 450, giving 2.

Step 5: Bring down another 0 in the dividend place, making it 20, and then repeat the division process.

Step 6: Continue the division until no remainder is left. This process yields the decimal 0.703125.

The answer for 45/64 as a decimal will be 0.703125.

• 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.