Understanding fractions is key to mastering mathematics. This overview covers proper and improper fractions, their conversion to mixed numbers, and the interconversion between fractions, decimals, and percentages. Practical applications of these concepts in financial planning, budgeting, and everyday decision-making are also discussed, highlighting the importance of these mathematical tools in real-life scenarios.
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Fractions are mathematical expressions that denote a part of a whole, consisting of a numerator and a denominator
Proper Fractions
Proper fractions have a numerator that is less than the denominator, signifying a quantity less than one
Improper Fractions
Improper fractions have a numerator that is greater than or equal to the denominator, indicating a quantity that is one or more
Mixed Numbers
Mixed numbers combine whole numbers with proper fractions to provide a clearer representation of the quantity
Fractions can be converted to mixed numbers by dividing the numerator by the denominator and simplifying the fraction part
Decimals are a way of representing fractions in the Base Ten Number System, using digits 0 through 9 and a decimal point to separate the whole number part from the fractional part
Decimals can be placed on a number line to visually represent their value
Decimals can be converted to fractions by counting the number of decimal places and simplifying, or to percentages by multiplying by 100 and adding the percentage symbol
Percentages are a way of expressing ratios as parts of one hundred, denoted by the symbol %
Percentages can be converted to fractions by placing the percentage number over 100 and simplifying, or to decimals by dividing by 100
Percentages are essential for financial planning and budgeting, allowing for precise representation and comparison of quantities
00
In mathematics, a ______ represents a portion of a whole and is composed of a numerator and a ______.
fraction
denominator
01
When the numerator is greater than or equal to the denominator, such as in 3/2, the fraction is known as an ______ fraction.
improper
02
Improper fraction to mixed number steps
Divide numerator by denominator, quotient is whole number, remainder over denominator is fraction.
