Write the fraction $\frac{19}{7}$ as a decimal. Round to the nearest tenth.
Answer (2)
To convert 7 19 to a decimal, divide 19 by 7 to get approximately 2.7142857142857144. When rounding to the nearest tenth, the result is 2.7. Hence, 7 19 as a decimal rounded to the nearest tenth is 2.7 .
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Divide 19 by 7 to convert the fraction 7 19 to a decimal, resulting in approximately 2.7142857142857144 .
Round the decimal 2.7142857142857144 to the nearest tenth.
Since the hundredths digit is 1 (less than 5), round down.
The fraction 7 19 as a decimal, rounded to the nearest tenth, is 2.7 .
Explanation
Understanding the Problem We are asked to convert the fraction 7 19 into a decimal and round the result to the nearest tenth.
Performing the Division To convert the fraction to a decimal, we perform the division 19 ÷ 7 . The result of this division is approximately 2.7142857142857144 .
Rounding to the Nearest Tenth Now, we need to round the decimal 2.7142857142857144 to the nearest tenth. The tenths place is the first digit after the decimal point, which is 7 in this case. To round to the nearest tenth, we look at the digit in the hundredths place, which is 1. Since 1 is less than 5, we round down, meaning we keep the digit in the tenths place as it is.
Final Result Therefore, when we round 2.7142857142857144 to the nearest tenth, we get 2.7 .
Examples
Understanding fractions and decimals is crucial in everyday situations, such as when calculating proportions in recipes or determining discounts while shopping. For instance, if a store offers a 7 19 percent discount on an item originally priced at 50 , co n v er t in g \frac{19}{7}$ to a decimal (approximately 2.7) allows you to quickly estimate the discount amount as 2.7% of $50, which is $1.35. This skill helps in making informed purchasing decisions and managing personal finances effectively.
