7/36 as a Decimal

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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 of a whole. It has two parts: the numerator (number on the top), here 7, which represents how many parts out of the whole are considered. The denominator (number below) shows how many parts make the whole, here it is 36. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 7/36 as a decimal?

$7/36 as a decimal$

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......

Important Glossaries for 7/36 as a decimal

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.
Divisor: The number by which another number is divided.
Recurring Decimal: A decimal that has one or more repeating digits after the decimal point.