43/12 as a Decimal

Answer

43/12 in decimals can be written as 3.58333..... It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 43/12 in decimal, we will use the division method. Here the numerator is larger than the denominator, so we can divide directly. Let's see the step-by-step breakdown of the process.

Step 1: Identify the numerator and denominator because the numerator (43) will be taken as the dividend and the denominator (12) will be taken as the divisor.

Step 2: Divide 43 by 12. 12 goes into 43 three times, as 12 × 3 = 36. Write 3 in the quotient place.

Step 3: Subtract 36 from 43, which gives 7.

Step 4: Bring down a 0 to make it 70. Divide 70 by 12. 12 goes into 70 five times, as 12 × 5 = 60. Write 5 in the quotient place.

Step 5: Subtract 60 from 70, which gives 10. Bring down another 0 to make it 100. Divide 100 by 12. 12 goes into 100 eight times, as 12 × 8 = 96. Write 8 in the quotient place.

Step 6: Subtract 96 from 100, which gives 4. Bring down another 0 to make it 40. Divide 40 by 12. 12 goes into 40 three times, as 12 × 3 = 36. Write 3 in the quotient place.

Step 7: Subtract 36 from 40, which gives 4. Bring down another 0 to make it 40, and the division process continues, repeating the digit 3. This process is called a recurring decimal.

The answer for 43/12 as a decimal will be 3.58333.....

• 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.

• Recurring Decimal: A decimal in which one or more digits repeat infinitely.