4/51 as a Decimal

Answer

4/51 in decimals can be written as approximately 0.07843. This is a terminating decimal.

Explanation

To get 4/51 in decimal, we will use the division method. Since 4 is smaller than 51, we will use the decimal method to find the decimal equivalent of the fraction. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (4) will be taken as the dividend and the denominator (51) will be taken as the divisor.

Step 2: As 4 is smaller than 51, it can't be divided directly, so we will use decimals. We will add a decimal point in the quotient and add a 0 to the dividend, making it 40.

Step 3: Now, divide 40 by 51. Since 40 is still smaller than 51, we add another 0 to the dividend, making it 400.

Step 4: Divide 400 by 51. 51 goes into 400 approximately 7 times (51 × 7 = 357). Write 7 in the quotient and subtract 357 from 400, giving a remainder of 43.

Step 5: Bring down another 0, making it 430. Divide 430 by 51. 51 goes into 430 approximately 8 times (51 × 8 = 408). Write 8 in the quotient and subtract 408 from 430, giving a remainder of 22.

Step 6: Bring down another 0, making it 220. Divide 220 by 51. 51 goes into 220 approximately 4 times (51 × 4 = 204). Write 4 in the quotient and subtract 204 from 220, giving a remainder of 16.

Step 7: Bring down another 0, making it 160. Divide 160 by 51. 51 goes into 160 approximately 3 times (51 × 3 = 153). Write 3 in the quotient and subtract 153 from 160, giving a remainder of 7. The division process continues until the desired precision is reached or the remainder becomes zero.

The answer for 4/51 as a decimal is approximately 0.07843.

• 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.