37/9 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts, numerator (number on the top) here, 37 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 9. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.

What is 37/9 as a decimal?

$37/9 as a decimal$

Answer

37/9 in decimals can be written as 4.11111….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 37/9 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (37) will be taken as dividend and denominator (9) will be taken as divisor.

Step 2: Divide 37 by 9. 9 goes into 37 four times, since 9 × 4 = 36.

Step 3: Subtract 36 from 37 gives 1.

Step 4: Bring down a 0, making it 10, and place a decimal point in the quotient.

Step 5: 9 goes into 10 once, since 9 × 1 = 9. Subtract 9 from 10 gives 1.

Step 6: Bring down another 0 and repeat the division process. The division process continues with a remainder of 1, leading to the recurring decimal.

The answer for 37/9 as a decimal will be 4.1111……

Important Glossaries for 37/9 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 one or more digits repeat infinitely.