57/8 as a Decimal

Answer

57/8 in decimals can be written as 7.125. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 57/8 in decimal, we will use the division method. Here as 57 is larger than 8, we can directly divide. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (57) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: Divide 57 by 8. 8 goes into 57 seven times since 8 × 7 = 56. Write 7 in the quotient place.

Step 3: Subtract 56 from 57 which gives a remainder of 1.

Step 4: Bring down a 0 to make it 10. Divide 10 by 8, which goes 1 time since 8 × 1 = 8. Write 1 in the quotient place after the decimal point.

Step 5: Subtract 8 from 10, which gives a remainder of 2. Bring down another 0 to make it 20. Divide 20 by 8, which goes 2 times since 8 × 2 = 16. Write 2 in the quotient place.

Step 6: Subtract 16 from 20, which gives a remainder of 4. Bring down another 0 to make it 40. Divide 40 by 8, which goes 5 times since 8 × 5 = 40. Write 5 in the quotient place. The division process ends as the remainder is 0.

The answer for 57/8 as a decimal is 7.125.

• 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.