126/37 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 the whole. It has two parts: the numerator (number on the top) here, 126 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 37. A decimal is a way to represent a number that is not whole, using a (.) or a decimal 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 126/37 as a decimal?

$126/37 as a decimal$

Answer

126/37 in decimals can be written as approximately 3.4054. It is a terminating decimal, meaning it ends after a few decimal places.

Explanation

To get 126/37 in decimal, we will use the division method. Here, 126 is larger than 37, so we can directly divide. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (126) will be taken as the dividend and the denominator (37) will be taken as the divisor.

Step 2: Divide 126 by 37. 37 goes into 126 three times (37 x 3 = 111) with a remainder of 15.

Step 3: Bring down a zero, making it 150. Divide 150 by 37. 37 goes into 150 four times (37 x 4 = 148) with a remainder of 2.

Step 4: Bring down another zero, making it 20. Divide 20 by 37. Since 37 is greater than 20, we add a zero to the quotient and bring down another zero, making it 200.

Step 5: Divide 200 by 37. 37 goes into 200 five times (37 x 5 = 185) with a remainder of 15.

The division process can continue until the desired precision is reached, but for practical purposes, 126/37 as a decimal is approximately 3.4054.

Important Glossaries for 126/37 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.