107/40 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, numerator (number on the top), here, 107 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 40. 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 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 107/40 as a decimal?

$107/40 as a decimal$

Answer

107/40 in decimals can be written as 2.675. It is a terminating decimal, meaning it ends after a certain number of decimal places.

Explanation

To get 107/40 in decimal, we will use the division method. Here, 107 is larger than 40. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (107) will be taken as the dividend and the denominator (40) will be taken as the divisor.

Step 2: Divide 107 by 40. The whole number part of the quotient is 2 because 40 multiplied by 2 equals 80.

Step 3: Subtract 80 from 107 to get 27.

Step 4: Add a decimal point in the quotient and bring down a 0 to make it 270.

Step 5: Divide 270 by 40. The result is 6 with a remainder of 30 (since 40 times 6 equals 240).

Step 6: Bring down another 0 to make it 300 and divide by 40 to get 7 with a remainder of 20.

Step 7: Bring down another 0 to make it 200 and divide by 40 to get 5 with a remainder of 0. Thus, the division process stops here.

The answer for 107/40 as a decimal is 2.675.

Important Glossaries for 107/40 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.