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Clever IPortal IXL. | Convert between percents Blake Williams - Exercises in Er ixl.com/math/grade-6/convert-between-percents-fractions-and-decimals-word-problems AA-IT IX2 My IXL Learning Assessment Analytics Sixth grade U. 5 Convert between percents, fractions, and decimals: word problems 7CZ You have prizes to reve Video Jasmine sells insurance. Her sales this month were \( 110 \% \) of her sales last month. Write \( 110 \% \) as a fraction in simplest form. \[ 11 / 10 \] Write \( 110 \% \) as a decimal. 1.10 Submit Work it out Sign out

Ask by Bernard Turner. in the United States
Jan 23,2025

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\( 110\% \) as a fraction is \( \frac{11}{10} \) and as a decimal is 1.10.

Solución

Sure, I'd be happy to help you understand how to convert \( 110\% \) to both a fraction and a decimal! ### 1. Converting \( 110\% \) to a Fraction **Step 1:** Recall that "percent" means "per hundred." So, \( 110\% \) can be written as: \[ \frac{110}{100} \] **Step 2:** Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 110 and 100 is 10. \[ \frac{110 \div 10}{100 \div 10} = \frac{11}{10} \] So, \( 110\% \) as a fraction in simplest form is: \[ \frac{11}{10} \] ### 2. Converting \( 110\% \) to a Decimal **Step 1:** Again, start with the percentage: \[ 110\% \] **Step 2:** To convert a percentage to a decimal, divide by 100: \[ 110 \div 100 = 1.10 \] So, \( 110\% \) as a decimal is: \[ 1.10 \] ### Summary - **Fraction:** \( 110\% = \frac{11}{10} \) - **Decimal:** \( 110\% = 1.10 \) Your answers are correct! ### Additional Insight Understanding how to convert between percentages, fractions, and decimals is a fundamental math skill that's very useful in various real-life situations, such as calculating discounts, interest rates, and more. If you have any more questions or need further assistance with similar problems, feel free to ask!

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Beyond the Answer

The concept of converting between percents, fractions, and decimals has origins deeply rooted in mathematics, dating back to ancient civilizations like the Babylonians and Egyptians. They used early forms of fractions for trade and commerce. The modern percentage symbol "%" was first introduced in the late 15th century by the Italian mathematician Luca Pacioli. This historical evolution reflects our continual efforts to make numbers more relatable and comprehensible in everyday life! In real-world scenarios, understanding how to convert between percent, fraction, and decimal can be incredibly handy. For example, if you’re trying to calculate discounts, knowing that a 25% off sale translates to 0.25 in decimal or 1/4 in fraction forms can make budgeting easier. This skill can also come in clutch when figuring out tips at restaurants or figuring out interest rates—life’s little math puzzles just became more manageable!

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