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Last updated on March 13th, 2025
It is a straightforward question on decimal conversion. To convert a mixed number to a decimal, we need to understand fractions and decimals. A fraction represents a part of a whole and has two components: the numerator (the number on top), which shows how many parts are being considered, and the denominator (the number below), which indicates how many parts make up the whole. A decimal is a way to represent a non-whole number 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, and those to the right represent the fractional part.
9 3/17 as a decimal can be written as approximately 9.17647. This is a terminating decimal representation of the fraction part.
To convert 9 3/17 to a decimal, we will first convert the fractional part 3/17 into a decimal and then add it to the whole number 9. Here's a step-by-step breakdown of the process:
Step 1: Identify the whole number (9) and the fraction (3/17).
Step 2: Convert the fraction 3/17 to a decimal by dividing the numerator (3) by the denominator (17).
Step 3: Perform the division: 3 ÷ 17 ≈ 0.17647.
Step 4: Add this decimal value to the whole number: 9 + 0.17647 = 9.17647.
Therefore, the decimal representation of 9 3/17 is approximately 9.17647.