49/64 as a Decimal

Answer

49/64 in decimals is 0.765625.

Explanation

To convert 49/64 to a decimal, we use the division method. Here, the numerator 49 is divided by the denominator 64 to find the decimal equivalent. Let's break down the process step-by-step:

Step 1: Identify the numerator and denominator, where the numerator (49) is the dividend and the denominator (64) is the divisor.

Step 2: Perform the division: 49 ÷ 64. Since 49 is smaller than 64, the result will be less than 1.

Step 3: Add a decimal point and zeros to the dividend to facilitate the division process.

Step 4: Divide 490 by 64, which gives approximately 7.

Step 5: Multiply 7 by 64 to get 448. Subtract 448 from 490 to get a remainder of 42.

Step 6: Bring down another 0, making it 420, and continue the division process.

Step 7: Repeat the steps until the remainder is 0 or until you achieve the desired level of precision.

Finally, 49/64 as a decimal is 0.765625.

• Fraction: A numerical representation of a part of a whole, consisting of a numerator and a denominator.
   
• Decimal: A number that uses the base ten system 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, which is the case with 49/64.