5/37 as a Decimal

Answer

5/37 in decimals can be written as approximately 0.135135. It is a non-terminating, repeating decimal, showing it will repeat a sequence of digits infinitely.

Explanation

To convert 5/37 into a decimal, we will use the division method. Here, as 5 is smaller than 37, we will use the decimal method, which will give us approximately 0.135135. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (37) will be taken as the divisor.

Step 2: As 5 is smaller than 37, it can't be divided directly, so we will use decimals. We will add 0 to the dividend, making 5 as 50, and add a decimal point in the quotient place.

Step 3: Now that it is 50, we can divide it by 37. Let's see how many times 37 fits into 50.

Step 4: 50 is not a multiple of 37, so we will consider the nearest number that is 37 × 1 = 37. We will write 1 in the quotient place and subtract 37 from 50, giving 13.

Step 5: Bring down another 0 in the dividend place, making it 130, and repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a repeating decimal.

The answer for 5/37 as a decimal will be approximately 0.135135.

• 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 a sequence of digits repeats infinitely.