Which fraction is the smallest: (5)/(16), (3)/(8), (1)/(4), (1)/(3) ? (a) (5)/(16) (b) (3)/(8) (

step 1 Okay, so we're asked which is the smallest. So what we want to do is we want to find the LCD to

Which fraction is the smallest: (5)/(16), (3)/(8), (1)/(4),...

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Key Concepts

Cross Multiplication

Cross multiplication is an alternative method for comparing two fractions without finding a common denominator. By multiplying the numerator of each fraction by the denominator of the other, one can compare the resulting products to determine which fraction is larger or smaller.

Fraction

A fraction is a way of representing a part of a whole or a ratio between two numbers, where the numerator is the part and the denominator is the total number of equal parts. This concept is fundamental in arithmetic and serves as the basis for understanding rational numbers.

Comparing Fractions

Comparing fractions involves determining which of the given fractions represents a lesser or greater quantity. This can be achieved through methods such as rewriting the fractions with a common denominator or employing cross multiplication, both of which help in assessing their relative sizes.

Common Denominator Method

The common denominator method is a technique used to compare fractions by converting them to equivalent fractions that all share the same denominator. This transformation simplifies the comparison by allowing the sizes of the fractions to be directly compared based on their numerators.

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