41/90 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

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 of the whole. It has two parts: the numerator (the number on the top) here, 41, represents how many parts out of the whole. The denominator (the number below) shows how many parts make up the whole; here, it is 90. A decimal is a way to represent a number that is not whole, using a (.) or a 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 41/90 as a decimal?

$41/90 as a decimal$

Answer

41/90 in decimals can be written as 0.4555... It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 41/90 in decimal, we will use the division method. As 41 is smaller than 90, we will take the help of the decimal method, which will give us 0.4555... Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (41) will be taken as the dividend and the denominator (90) will be taken as the divisor.

Step 2: As 41 is smaller than 90, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 41 as 410, and add a decimal point in the quotient place.

Step 3: Now that it is 410, we can divide it by 90. Let's see how many times 90 fits into 410.

Step 4: 90 times 4 is 360, which is the nearest multiple of 90 less than 410. We write 4 in the quotient place, and subtract 360 from 410 to get 50.

Step 5: Bring down another 0 in the dividend place to make it 500, and then repeat the division process.

Step 6: 90 times 5 is 450, the nearest multiple of 90 less than 500. We write 5 in the quotient place and subtract 450 from 500 to get 50 again. The division process continues, and we find that the remainder will keep repeating, leading to a recurring decimal.

The answer for 41/90 as a decimal will be 0.4555...