Objective 4 Find the least common denominator for each group of fractions. a) (3)/(14), (2)/(7)

step 1 Okay, looking at this set of fractions. First, which numbers are my denominators? Well, my denom

Objective 4 Find the least common denominator for each group...

Key Concepts

Least Common Multiple (LCM)

The least common multiple is the smallest number that is a multiple of two or more numbers. In the context of fractions, it is used to find the least common denominator by determining the smallest number that each denominator will divide evenly into, making it crucial for working efficiently with fractions.

Least Common Denominator (LCD)

The least common denominator is the smallest number that is a common denominator for a set of fractions. It is essentially the least common multiple (LCM) of the denominators, and using the LCD minimizes the amount of arithmetic required when performing operations with fractions.

Fractions

A fraction represents a part of a whole, and is composed of a numerator (the top part) and a denominator (the bottom part). Understanding fractions is fundamental because many arithmetic operations, including addition and subtraction, require a common denominator for accurate computations.

Denominator

The denominator is the bottom number in a fraction that indicates into how many equal parts the whole is divided. It plays a key role in comparing and combining fractions, as fractions with different denominators must be converted to equivalent fractions with a common denominator to be directly added or compared.

Common Denominator

A common denominator is a shared multiple of the denominators of two or more fractions. Using a common denominator allows fractions to be easily compared, added, or subtracted because they refer to parts of the same size, facilitating operations on fractions.

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