1/35 as a Decimal

Professor Greenline Explaining Math Concepts

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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 the whole. It has two parts: the numerator (number on the top) here, 1 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 35. A decimal is a way to represent a number that is not whole, using a (.) or 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 1/35 as a decimal?

$1/35 as a decimal$

Answer

1/35 in decimals can be written as 0.02857142857... It is a recurring decimal, meaning it will repeat a sequence of digits infinitely.

Explanation

To convert 1/35 to decimal, we will use the division method. Here, as 1 is smaller than 35, we will utilize the decimal method to find 0.02857142857. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator, because the numerator (1) will be taken as the dividend, and the denominator (35) will be taken as the divisor.

Step 2: As 1 is smaller than 35, it cannot be divided directly, so we will take the help of decimals. We will add 0 to the dividend, making 1 as 10, and add a decimal point in the quotient place.

Step 3: Now that it is 10, we cannot divide it by 35. We will add another 0, making it 100.

Step 4: Determine how many times 35 goes into 100. 35 × 2 = 70, which is the nearest multiple less than 100. Write 2 in the quotient place and subtract 70 from 100, leaving 30.

Step 5: Bring down another 0, making 30 as 300, and repeat the division process. 35 goes into 300 eight times (35 × 8 = 280). Write 8 in the quotient, subtract 280 from 300, leaving 20.

Step 6: Continue this process. The division does not resolve to a remainder of 0, so it becomes a recurring decimal.

The answer for 1/35 as a decimal is 0.02857142857...

Important Glossaries for 1/35 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.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.