Table Of Contents
Last updated on March 14th, 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, 171, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole; here it is 50. 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.
171/50 in decimals can be written as 3.42. It is a terminating decimal, meaning it does not repeat and ends after a finite number of digits.
To get 171/50 in decimal, we will use the division method. Here, 171 is larger than 50, so we can directly divide without initially needing to use decimals. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (171) will be taken as the dividend and the denominator (50) will be taken as the divisor.
Step 2: Divide 171 by 50. Let's see how many times 50 fits into 171.
Step 3: 50 can fit into 171 three times because 50 × 3 = 150.
Step 4: Subtract 150 from 171, which gives 21.
Step 5: Bring down a zero to make it 210, and divide by 50 again.
Step 6: 50 fits into 210 four times because 50 × 4 = 200.
Step 7: Subtract 200 from 210, which gives 10.
Step 8: Bring down another zero to make it 100, and divide by 50 again.
Step 9: 50 fits into 100 two times because 50 × 2 = 100.
Step 10: Subtract 100 from 100, which gives 0. The division process ends here, as we get a remainder of 0.
The answer for 171/50 as a decimal will be 3.42.