57/8 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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, 57 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 that to the right represents the fractional part.

What is 57/8 as a decimal?

$57/8 as a decimal$

Answer

57/8 in decimals can be written as 7.125. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 57/8 in decimal, we will use the division method. Here as 57 is larger than 8, 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 (57) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: Divide 57 by 8. 8 goes into 57 seven times since 8 × 7 = 56. Write 7 in the quotient place.

Step 3: Subtract 56 from 57 which gives a remainder of 1.

Step 4: Bring down a 0 to make it 10. Divide 10 by 8, which goes 1 time since 8 × 1 = 8. Write 1 in the quotient place after the decimal point.

Step 5: Subtract 8 from 10, which gives a remainder of 2. Bring down another 0 to make it 20. Divide 20 by 8, which goes 2 times since 8 × 2 = 16. Write 2 in the quotient place.

Step 6: Subtract 16 from 20, which gives a remainder of 4. Bring down another 0 to make it 40. Divide 40 by 8, which goes 5 times since 8 × 5 = 40. Write 5 in the quotient place. The division process ends as the remainder is 0.

The answer for 57/8 as a decimal is 7.125.

Important Glossaries for 57/8 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.