Change the fraction $\frac{7}{12}$ to a decimal. Round your answer to the nearest thousandth.
A) .583
B) 1.714
C) .600
D) 1.700
Answer (1)
Divide 7 by 12 to convert the fraction to a decimal: 12 7 = 0.583333... .
Round the decimal to the nearest thousandth (three decimal places).
Since the digit after the thousandth place is 3 (less than 5), round down.
The fraction 12 7 as a decimal, rounded to the nearest thousandth, is 0.583 .
Explanation
Understanding the Problem We need to convert the fraction 12 7 to a decimal and round the result to the nearest thousandth (three decimal places).
Performing the Division To convert the fraction to a decimal, we divide the numerator (7) by the denominator (12). The result of this division is approximately 0.583333...
Rounding to the Nearest Thousandth Now, we need to round this decimal to the nearest thousandth. The thousandth place is the third digit after the decimal point. In this case, it's 3. The digit to the right of it is also 3. Since 3 is less than 5, we round down, meaning we keep the thousandth place as 3.
Final Answer Therefore, the fraction 12 7 as a decimal, rounded to the nearest thousandth, is 0.583.
Examples
Fractions and decimals are used in everyday life, such as when calculating proportions in recipes, measuring ingredients, or determining discounts while shopping. For example, if a store offers a 4 1 discount on an item, converting it to a decimal (0.25) helps you quickly calculate the savings. Similarly, if you need to split a pizza into 12 slices and you eat 7 of them, knowing that 12 7 is approximately 0.583 (or 58.3%) helps you understand the portion you consumed.
