1
What is a fraction?
A number representing a part of a whole, written as numerator over denominator
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What is a numerator?
The top number in a fraction, indicating how many parts are taken
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What is a denominator?
The bottom number in a fraction, indicating the total number of equal parts
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What is a proper fraction?
A fraction where the numerator is smaller than the denominator
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What is an improper fraction?
A fraction where the numerator is greater than or equal to the denominator
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What is a mixed number?
A number combining a whole number and a proper fraction
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How do you convert an improper fraction to a mixed number?
Divide the numerator by the denominator; the quotient is the whole number and the remainder becomes the new numerator
8
What is an equivalent fraction?
A fraction that represents the same value as another, despite different numbers
9
How do you simplify a fraction?
Divide the numerator and denominator by their greatest common factor
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How do you add fractions with different denominators?
Find a common denominator, then add the numerators
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How do you multiply fractions?
Multiply the numerators together and the denominators together
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How do you divide fractions?
Multiply the first fraction by the reciprocal of the second
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What is a reciprocal of a fraction?
The fraction flipped, with numerator and denominator swapped
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What is a decimal number?
A number that uses a decimal point to represent values less than one
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How do you convert a fraction to a decimal?
Divide the numerator by the denominator
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How do you convert a decimal to a fraction?
Write the decimal digits over the appropriate power of 10, then simplify
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What is a terminating decimal?
A decimal that ends after a finite number of digits
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What is a repeating decimal?
A decimal in which one or more digits repeat infinitely
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How do you round a decimal to the nearest tenth?
Look at the hundredths digit; round up if 5 or greater, otherwise round down
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What is place value in decimals?
The value of a digit based on its position relative to the decimal point
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How do you add decimals?
Line up the decimal points and add as with whole numbers
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How do you multiply decimals?
Multiply as whole numbers, then place the decimal point based on the total decimal places in both factors
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How do you divide decimals?
Move the decimal point in the divisor and dividend to make the divisor a whole number, then divide normally
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What is a common denominator?
A shared multiple of the denominators of two or more fractions
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What is the least common denominator (LCD)?
The smallest common multiple of the denominators of two or more fractions
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How do you compare two fractions with different denominators?
Convert them to a common denominator or cross-multiply
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What is a unit fraction?
A fraction with a numerator of 1, such as 1/4
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How are fractions and decimals related?
Both represent parts of a whole; every fraction can be expressed as a decimal
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What is 3/4 as a decimal?
0.75
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What is 0.5 as a fraction?
1/2