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Last updated on March 11th, 2025
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 80. 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 that to the right represents the fractional part.
19/80 in decimals can be written as 0.2375. It is a terminating decimal, meaning it does not repeat infinitely.
To get 19/80 in decimal, we will use the division method. Here, since 19 is smaller than 80, we will take the help of the decimal method, which will give us 0.2375. 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 (80) will be taken as the divisor.
Step 2: As 19 is smaller than 80, it can't be divided directly. We will take the help of decimals. We will add 0 to the dividend, making 19 as 190 and add a decimal point in the quotient place.
Step 3: Now that it is 190, we can divide it by 80. Let's see how many times 80 makes 190.
Step 4: Calculate the quotient: 80 goes into 190 twice, 80 × 2 = 160. Subtract 160 from 190 gives 30.
Step 5: Bring down another 0 in the dividend place to make it 300. Divide 300 by 80, which goes 3 times, 80 × 3 = 240. Subtract 240 from 300 gives 60.
Step 6: Bring down another 0 in the dividend place to make it 600. Divide 600 by 80, which goes 7 times, 80 × 7 = 560. Subtract 560 from 600 gives 40.
Step 7: Bring down another 0 to make it 400. Divide 400 by 80, which goes 5 times, 80 × 5 = 400. Subtract 400 from 400 gives 0. The process stops here as the remainder is 0.
Thus, the answer for 19/80 as a decimal will be 0.2375.