4 5/12 as a Decimal

Answer

4 5/12 in decimals can be written as 4.41666... It is a recurring decimal, meaning the fractional part will repeat the same digit infinitely.

Explanation

To convert 4 5/12 to a decimal, we will first convert the fraction 5/12 to a decimal and then add it to the whole number 4.

Step 1: Convert the fraction 5/12 to a decimal using division.

Step 2: The numerator (5) will be the dividend, and the denominator (12) will be the divisor.

Step 3: Perform the division 5 ÷ 12. Since 5 is smaller than 12, we add a decimal point and zeros to the dividend.

Step 4: 12 goes into 50 four times (12 × 4 = 48). Write 4 in the quotient place and subtract 48 from 50 to get 2.

Step 5: Bring down a 0, making it 20, and divide by 12 to get 1 (12 × 1 = 12). Subtract 12 from 20 to get 8.

Step 6: Bring down another 0 to make 80, and divide by 12 to get 6 (12 × 6 = 72). Subtract 72 from 80 to get 8.

Step 7: Continue this process as the remainder repeats, showing the decimal is recurring.

Finally, the decimal for 5/12 is approximately 0.41666..., and adding this to the whole number 4 gives 4.41666....

• 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.
   
• Mixed Number: A number consisting of a whole number and a fraction.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered
   
• Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.