10/17 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

Advance Topics

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: numerator (number on the top) here, 10 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 17. A decimal is a way to represent the number that is not whole, using a (.) or a decimal point to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 10/17 as a decimal?

$10/17 as a decimal$

Answer

10/17 in decimals can be written as approximately 0.588235. It is a repeating decimal.

Explanation

To convert 10/17 into a decimal, we use the division method. Since 10 is smaller than 17, we will employ the decimal method, which results in 0.588235. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (10) will be taken as the dividend and the denominator (17) will be taken as the divisor.

Step 2: As 10 is smaller than 17, it can't be divided directly. Here, we will use decimals. We add 0 to the dividend, making 10 into 100, and add a decimal point in the quotient place.

Step 3: Now that it is 100, we can divide it by 17. Let's see how many times 17 fits into 100.

Step 4: 17 goes into 100 approximately 5 times (as 17 × 5 = 85). We write 5 in the quotient place, subtract 85 from 100, which gives 15.

Step 5: Bring down another 0 in the dividend place, making it 150, and then repeat the division process. The division process continues, and we get a repeating decimal.

The answer for 10/17 as a decimal will be approximately 0.588235....

Important Glossaries for 10/17 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.
Repeating Decimal: A decimal in which one or more digits repeat infinitely.