43/12 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts, numerator (number on the top) here, 43 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 12. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.

What is 43/12 as a decimal?

$43/12 as a decimal$

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.....