24/64 as a Decimal

Answer

24/64 in decimals can be simplified to 0.375. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 24/64 in decimal form, we will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Simplify the fraction 24/64. Both numerator (24) and denominator (64) can be divided by 8, giving us 3/8.

Step 2: Now, divide 3 by 8. Since 3 is smaller than 8, we will use decimal conversion.

Step 3: Add a decimal point and a zero to the dividend, making it 30.

Step 4: 8 goes into 30 three times (3 × 8 = 24). Write 3 in the quotient place and subtract 24 from 30, giving a remainder of 6.

Step 5: Bring down another 0 in the dividend place, making it 60.

Step 6: 8 goes into 60 seven times (7 × 8 = 56). Write 7 in the quotient place and subtract 56 from 60, giving a remainder of 4.

Step 7: Bring down another 0 in the dividend place, making it 40.

Step 8: 8 goes into 40 five times (5 × 8 = 40). Write 5 in the quotient place, and the remainder is 0, concluding the division.

Therefore, the decimal representation of 24/64 is 0.375.

• Fraction: A numerical quantity that represents 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.