95 7/40 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: the numerator (number on the top), here, 7 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 95 7/40 as a decimal?

$95 7/40 as a decimal$

Answer

95 7/40 in decimals can be written as 95.175. It is a terminating decimal, meaning the decimal representation ends after a finite number of digits.

Explanation

To convert 95 7/40 into decimal, we will use the division method for the fractional part and then add it to the whole number part. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number (95) and the fractional part (7/40).

Step 2: Convert the fraction 7/40 into a decimal by dividing the numerator (7) by the denominator (40).

Step 3: Perform the division 7 ÷ 40. Since 7 is smaller than 40, we add a decimal point and zeros to 7 to perform the division.

Step 4: 7.000 ÷ 40 gives 0.175.

Step 5: Combine the whole number part 95 with the decimal obtained from the fraction.

The answer for 95 7/40 as a decimal will be 95.175.

Important Glossaries for 95 7/40 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.