Worksheets 1.1 - 2.4 Class Quiz

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.