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Last updated on March 17th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A mixed number combines a whole number and a fraction. Here, 9 is the whole number, and 3/16 is the fraction part. A fraction represents a part from the whole. The numerator (number on the top) here, 3, indicates how many parts out of the whole. The denominator (number below), 16, shows how many parts make the whole. A decimal is a way to represent numbers that are not whole, using a (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
9 3/16 in decimal can be written as 9.1875. It is a terminating decimal, indicating that it ends without repeating any digits.
To convert 9 3/16 to a decimal, we first convert the fractional part to a decimal and then add the whole number. Let's break down the process step by step:
Step 1: Identify the whole number and fraction. Here, the whole number is 9, and the fraction is 3/16.
Step 2: Convert the fraction 3/16 to a decimal.
Step 3: Divide the numerator (3) by the denominator (16). 3 ÷ 16 = 0.1875.
Step 4: Combine the whole number and the decimal from the fraction. Add 9 and 0.1875 to get 9.1875. The division process results in a terminating decimal.
The answer for 9 3/16 as a decimal is 9.1875.