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Last updated on March 13th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (number on the top) and the denominator (number below). The numerator here, 167, represents how many parts out of the whole, and the denominator, 50, shows how many parts make the whole. A decimal is a way to represent a number that is not whole, using a (.) or decimal point 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.
167/50 in decimals can be written as 3.34. It is a terminating decimal, which means it ends after a certain number of digits.
To convert 167/50 into a decimal, we will use the division method. Here, as 167 is greater than 50, we can divide directly. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (167) will be taken as the dividend and the denominator (50) will be taken as the divisor.
Step 2: Divide 167 by 50.
Step 3: 50 goes into 167 three times because 50 × 3 = 150. Write 3 in the quotient place.
Step 4: Subtract 150 from 167, which gives 17.
Step 5: Bring down a 0 to make it 170. Divide 170 by 50.
Step 6: 50 goes into 170 three times because 50 × 3 = 150. Write 3 in the quotient place, next to the previous 3.
Step 7: Subtract 150 from 170, which gives 20.
Step 8: Bring down another 0 to make it 200. Divide 200 by 50.
Step 9: 50 goes into 200 exactly 4 times because 50 × 4 = 200. Write 4 in the quotient place.
Step 10: Subtract 200 from 200, which gives 0. The division ends here.
The answer for 167/50 as a decimal will be 3.34.