49/8 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 from the whole. It has two parts, numerator (number on the top) here, 49 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 8. 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 those to the right represent the fractional part.

What is 49/8 as a decimal?

$49/8 as a decimal$ Answer

49/8 in decimals can be written as 6.125. It is a terminating decimal, meaning it ends without repeating infinitely.

Explanation

To get 49/8 in decimal, we will use the division method. Here, 49 is larger than 8, so we can start dividing directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (49) will be taken as the dividend and the denominator (8) will be taken as the divisor..

Step 2: Divide 49 by 8. 8 goes into 49 six times because 8 × 6 = 48.

Step 3: Write 6 in the quotient place and subtract 48 from 49, which gives a remainder of 1.

Step 4: Bring down a 0 to make 10 and continue the division. 8 goes into 10 once because 8 × 1 = 8.

Step 5: Write 1 in the quotient place after the decimal point, subtract 8 from 10, which gives a remainder of 2.

Step 6: Bring down another 0 to make 20 and divide by 8. 8 goes into 20 twice because 8 × 2 = 16.

Step 7: Write 2 in the quotient place, subtract 16 from 20, which gives a remainder of 4.

Step 8: Bring down another 0 to make 40 and divide by 8. 8 goes into 40 five times because 8 × 5 = 40. The remainder is now 0, and the division process is complete.

The answer for 49/8 as a decimal is 6.125.

Important Glossaries for 49/8 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.