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Last updated on March 17th, 2025
Converting a mixed number to a decimal involves understanding fractions and decimal notation. A mixed number consists of a whole number and a fraction. In this case, the whole number is 16, and the fraction is 1/5. A decimal is a way to express 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.
16 1/5 as a decimal can be written as 16.2. This decimal is a terminating decimal, meaning it ends after a certain number of digits.
To convert 16 1/5 to a decimal, we first convert the fraction 1/5 to a decimal. Let's use the division method for this conversion.
Step 1: Identify the numerator and denominator of the fraction 1/5. Here, 1 is the numerator (dividend) and 5 is the denominator (divisor).
Step 2: Divide 1 by 5. Since 1 is smaller than 5, we use a decimal to make the division possible.
Step 3: Add a decimal point and a 0 to the dividend, making it 10.
Step 4: Divide 10 by 5. The quotient is 2, which means 1/5 as a decimal is 0.2.
Step 5: Combine the whole number 16 with the fraction decimal 0.2 to get 16.2.
The result is 16.2, which is a terminating decimal.