179/200 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (number on the top), here 179, which indicates how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 200. 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, while those to the right represent the fractional part.

What is 179/200 as a decimal?

$179/200 as a decimal$

Answer

179/200 in decimals can be written as 0.895. It is a terminating decimal, indicating that it does not repeat infinitely.

Explanation

To convert 179/200 to decimal, we will use division. Here, 179 is smaller than 200, so we will use the decimal method to find the quotient. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator; the numerator (179) will be taken as the dividend, and the denominator (200) will be taken as the divisor.

Step 2: Since 179 is smaller than 200, we cannot divide directly. We will introduce a decimal point in the quotient and add zeros to the dividend to make it 1790.

Step 3: Now we can divide 1790 by 200.

Step 4: Determine how many times 200 fits into 1790. The closest multiple is 200 × 8 = 1600.

Step 5: Write 8 in the quotient place, subtract 1600 from 1790, which gives 190.

Step 6: Bring down another 0 to make 1900, and divide by 200 again.

Step 7: 200 × 9 = 1800

Step 8: Write 9 in the quotient place, subtract 1800 from 1900, leaving a remainder of 100.

Step 9: Bring down another 0 to make 1000, and divide by 200.

Step 10: 200 × 5 = 1000 Step 11: Write 5 in the quotient place, now the remainder is 0.

Thus, the answer for 179/200 as a decimal is 0.895.

Important Glossaries for 179/200 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.
Terminating Decimal: A decimal that ends and does not repeat infinitely.