19/40 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 of the whole. It has two parts, numerator (number on the top) here, 19 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 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 those to the right represent the fractional part.

What is 19/40 as a decimal?

$19/40 as a decimal$

Answer

19/40 in decimals can be written as 0.475. It is a terminating decimal, which means it ends and does not repeat infinitely.

Explanation

To get 19/40 in decimal, we will use the division method. Here, since 19 is smaller than 40, we will take the help of the decimal method, which will give us 0.475. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (19) will be taken as the dividend and the denominator (40) will be taken as the divisor.

Step 2: As 19 is smaller than 40, it can't be divided as a whole number. Here we will take the help of decimals. We will add 0 to the dividend, which will make 19 as 190 and add a decimal point in the quotient place.

Step 3: Now that it is 190, we can divide it by 40. Let's see how many times 40 fits into 190.

Step 4: 40 goes into 190 four times (40 x 4 = 160). We write 4 in the quotient place and subtract 160 from 190, which gives us 30.

Step 5: Bring down another 0 in the dividend place, making 30 as 300, and repeat the division process.

Step 6: 40 goes into 300 seven times (40 x 7 = 280). Write 7 in the quotient place and subtract 280 from 300, which gives us 20.

Step 7: Bring down another 0 in the dividend place, making 20 as 200. 40 goes into 200 five times (40 x 5 = 200), leaving us with no remainder. The division process ends here, and the answer for 19/40 as a decimal will be 0.475.