1 19/40 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, 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 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 1 19/40 as a decimal?

$1 19/40 as a decimal$

Answer

1 19/40 as a decimal can be written as 1.475. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 1 19/40 to a decimal, we will use the division method for the fraction part, 19/40. 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) as the divisor.

Step 2: Divide 19 by 40. Since 19 is smaller than 40, it can't be divided without using decimals.

Step 3: Add a decimal point and a zero to the dividend, making it 190.

Step 4: Now, divide 190 by 40. The quotient is 4, as 40 × 4 = 160. Subtract 160 from 190, which leaves a remainder of 30.

Step 5: Bring down another 0, making it 300. Divide by 40 again to get 7, as 40 × 7 = 280. Subtract 280 from 300, which gives a remainder of 20.

Step 6: Bring down another 0, making it 200. Divide by 40 to get 5, as 40 × 5 = 200. Subtract 200 from 200, leaving no remainder. The decimal form of 19/40 is 0.475. Combine this with the whole number 1 to get 1.475.

The answer for 1 19/40 as a decimal is 1.475.