7/36 as a Decimal
2026-02-28 17:50 Diff

Answer

7/36 in decimals can be written as 0.19444..... It is a recurring decimal, indicating that it will repeat the same digit infinitely.

Explanation

To convert 7/36 to a decimal, we will use the division method. Here, as 7 is smaller than 36, we will use the decimal method to get 0.19444. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (7) will be taken as the dividend, and the denominator (36) will be taken as the divisor.

Step 2: As 7 is smaller than 36, it can't be divided directly. We will use decimals to assist. Add a 0 to the dividend, making it 70, and place a decimal point in the quotient.

Step 3: Now, 70 divided by 36 goes once, giving us 36. Write 1 in the quotient place and subtract 36 from 70, leaving a remainder of 34.

Step 4: Bring down another 0 to make it 340. Divide by 36 to get 9, as 36 × 9 = 324. Write 9 in the quotient place and subtract 324 from 340, leaving 16.

Step 5: Bring down another 0 to make it 160. Divide by 36 to get 4, as 36 × 4 = 144. Write 4 in the quotient place and subtract 144 from 160, leaving 16.

Step 6: The process repeats, as the remainder doesn't become 0, forming a recurring decimal.

The answer for 7/36 as a decimal is 0.19444......