complex fraction
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Definition
- Noun:
- A fraction with fractions in the numerator or denominator: A "complex fraction" is a mathematical expression where the numerator, the denominator, or both are themselves fractions. It is also commonly known as a compound fraction.
Examples of Usage
- Noun:
- Simplify the complex fraction (1/2) / (3/4). (This means one-half divided by three-fourths.)
- The expression ( (x+1)/3 ) / 5 is a complex fraction. (Here, the numerator is a fraction, and the denominator is an integer.)
- Solving equations often involves clearing complex fractions. (This refers to the process of simplifying such expressions.)
Advanced Usage
- "To simplify a complex fraction": This is the standard mathematical operation performed on a complex fraction, typically by multiplying the numerator and denominator by the least common denominator (LCD) of all the minor fractions within it.
- The first step is to simplify the complex fraction by finding the LCD.
Variants and Related Words
- Compound fraction (n): This is a direct synonym for "complex fraction." The terms are used interchangeably in mathematics.
- A compound fraction can be simplified by multiplication.
Synonyms
- Compound fraction: A fraction in which the numerator or denominator (or both) contain fractions.
Related Phrases
- "Nested fraction": This is a less common but descriptive term for a complex fraction, emphasizing that one fraction is contained within another.
- The nested fraction was challenging for the students to evaluate.
Noun
- a fraction with fractions in the numerator or denominator