Podcast
Questions and Answers
What is the quotient of these fractions in lowest terms?
What is the quotient of these fractions in lowest terms?
- 1/3 + (-1/6)
- 1/3 + (-1/6)
-2/6
4.05 - 7.62
4.05 - 7.62
-3.57
Fill in the blank with the correct sign >, < , or =: -3/4 ________ -4/5
Fill in the blank with the correct sign >, < , or =: -3/4 ________ -4/5
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Order the following numbers from least to greatest: 0.69 , 2/3, 63%
Order the following numbers from least to greatest: 0.69 , 2/3, 63%
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-5 - (- 3)
-5 - (- 3)
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3/4 x (-2/3)
3/4 x (-2/3)
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Find the product. Then, simplify: 2/24
Find the product. Then, simplify: 2/24
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Divide: 5/0
Divide: 5/0
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Olivia sets aside 5/6 of an hour for homework after school each day. How many hours of homework does she do in 5 days?
Olivia sets aside 5/6 of an hour for homework after school each day. How many hours of homework does she do in 5 days?
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5 ÷ 7
5 ÷ 7
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Order -2/3, -4/5, 8/15, and 3/5 from least to greatest
Order -2/3, -4/5, 8/15, and 3/5 from least to greatest
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Which correctly orders the following decimals and fractions from least to greatest? 3/12, 8/9, 0.75, 0.22
Which correctly orders the following decimals and fractions from least to greatest? 3/12, 8/9, 0.75, 0.22
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Study Notes
Fractions
- The quotient of two fractions can be found in lowest terms.
- Example: 6/10 can be simplified to 3/5.
Adding and Subtracting Fractions
- To add or subtract fractions, find the common denominator and then perform the operation.
- Example: -1/3 + (-1/6) = -2/6 = -1/2.
Decimal Subtraction
- To subtract decimals, line up the decimal points and perform the subtraction.
- Example: 4.05 - 7.62 = -3.57.
Comparing Fractions
- To compare fractions, find the common denominator and then compare.
- Example: -3/4 ________ -4/5, the answer is >.
Ordering Numbers
- To order numbers, convert all numbers to the same form (fraction or decimal) and then compare.
- Example: Ordering 0.69, 2/3, and 63% from least to greatest gives 63%, 2/3, 0.69.
Multiplying Fractions
- To multiply fractions, multiply the numerators and multiply the denominators.
- Example: 3/4 x (-2/3) = -6/12.
Dividing Fractions
- To divide fractions, invert the second fraction and then multiply.
- Example: undefined, 0, -0, or 15 are possible answers.
Real-World Applications
- Fractions can be used to represent time, such as 5/6 of an hour.
- Example: Olivia sets aside 5/6 of an hour for homework each day, which is 4 1/6 hours in 5 days.
Dividing Decimals
- To divide decimals, perform the division as usual.
- Example: 5 ÷ 7 = 0.714.
Ordering Mixed Fractions and Decimals
- To order mixed fractions and decimals, convert all numbers to the same form (fraction or decimal) and then compare.
- Example: Ordering -2/3, -4/5, 8/15, and 3/5 from least to greatest gives -4/5, -2/3, 8/15, 3/5.
Ordering Decimals and Fractions
- To order decimals and fractions, convert all numbers to the same form (fraction or decimal) and then compare.
- Example: Ordering 0.22, 3/12, 0.75, and 8/9 from least to greatest gives 0.22, 3/12, 0.75, 8/9.
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Description
This quiz consists of 13 questions from worksheets covering topics from 1.1 to 2.4, suitable for a class assignment.
