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Last updated on March 13th, 2025
It is a simple question on decimal conversion. Firstly, we have to understand mixed numbers and decimals. A mixed number combines a whole number and a fraction. In the fraction part, the numerator (number on the top) represents how many parts out of the whole, and the denominator (number below) shows how many parts make up the whole. A decimal is a way to represent numbers that are not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole number, and those to the right represent the fractional part.
14 3/5 in decimal form can be written as 14.6. This is a terminating decimal, meaning it does not repeat.
To convert 14 3/5 into a decimal, we will first convert the fraction part into a decimal. The fraction 3/5 can be converted using division.
Step 1: Identify the numerator and denominator. The numerator (3) will be taken as the dividend, and the denominator (5) will be the divisor.
Step 2: Divide 3 by 5. Since 3 is smaller than 5, we add a decimal point to the quotient and convert 3 into 30 by adding a zero.
Step 3: Divide 30 by 5, which gives 6.
Step 4: Since there is no remainder, the division ends, making 0.6 the decimal form of 3/5.
Step 5: Combine the whole number 14 with the decimal 0.6 to get the final result of 14.6.