77/200 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 of a whole. It has two parts: the numerator (number on the top), here, 77, which indicates how many parts out of the whole are considered. The denominator (number below) shows how many parts make the whole, here it is 200. A decimal is a way to express 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 77/200 as a decimal?

$77/200 as a decimal$

Answer

77/200 in decimals can be written as 0.385. It is a terminating decimal, showing that it has an end and does not repeat.

Explanation

To convert 77/200 into a decimal, we will use the division method. Here's the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator, where the numerator (77) will be taken as the dividend and the denominator (200) as the divisor.

Step 2: Perform the division. Since 77 is smaller than 200, we will use the decimal method to find the result. Divide 77 by 200.

Step 3: Add a decimal point in the quotient and a zero to the dividend, making it 770.

Step 4: Divide 770 by 200. The closest multiple of 200 to 770 is 200 × 3 = 600.

Step 5: Write 3 in the quotient place and subtract 600 from 770, leaving a remainder of 170.

Step 6: Bring down another 0, making it 1700, and divide by 200 again. The closest multiple is 200 × 8 = 1600.

Step 7: Write 8 in the quotient place and subtract 1600 from 1700, leaving a remainder of 100.

Step 8: Bring down another 0, making it 1000, and divide by 200. The quotient is 5, and the remainder is 0.

The answer for 77/200 as a decimal is 0.385.

Important Glossaries for 77/200 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.