3 4/25 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: the numerator (number on the top) here, 4 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 25. A decimal is a way to represent a number that is not whole, using a (.) or decimal point 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 3 4/25 as a decimal?

$3 4/25 as a decimal$

Answer

3 4/25 in decimals can be written as 3.16. It is a terminating decimal

Explanation

To convert 3 4/25 into decimal, we will use the division method for the fractional part. Let's break down the process step by step:

Step 1: Identify the fraction part 4/25. The numerator (4) is the dividend, and the denominator (25) is the divisor.

Step 2: Divide 4 by 25 to convert the fraction into a decimal. Since 4 is smaller than 25, we add a decimal point and 0 in the quotient place.

Step 3: Now treat the 4 as 40. Divide 40 by 25. The nearest multiple is 25 × 1 = 25.

Step 4: Subtract 25 from 40, which leaves 15. Bring down another 0 to make it 150.

Step 5: Divide 150 by 25. The nearest multiple is 25 × 6 = 150. Subtract to get 0 as the remainder. The decimal representation of 4/25 is 0.16. Adding the whole number part, 3, we get 3.16 as the decimal.

Thus, the answer for 3 4/25 as a decimal is 3.16.

Important Glossaries for 3 4/25 as a decimal

Mixed Number: A number consisting of an integer and a proper fraction.
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.