In comparing two fractions, we need to find which of the given fraction is greater or lesser than the other. Before learning how to compare fractions, we have to know what is a fraction.** **

A fraction is a number that can represented in the form of $\frac{a}{b}$ . where a is called as numerator and b is called as denominator. Earlier only reciprocals where represented as fractions. Numbers between two integers are represented as fraction. To compare two fraction we use less than symbol (<) and greater than symbol(>).

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Below are the solved examples on how to compare fractions -

The LCD for the denominators 11, 23 is 253.

Calculate the fractions as $\frac{23*3}{253}$ and $\frac{11*6}{253}$

Now we get the solutions for the given fractions.

= $\frac{69}{253}$ and $\frac{66}{253}$

When comparing them $\frac{6}{23}$ is smaller.

The LCD for the denominators 3, 7 is 21.

Calculate the fractions as $\frac{7*11}{21}$ and $\frac{3*23}{21}$

Now we get the solutions for the given fractions.

= $\frac{77}{21}$ and $\frac{69}{21}$

When comparing them $\frac{23}{7}$ is smaller.

Convert the given fractions in to decimal form.

Calculate the fractions as $\frac{21}{14}$ and $\frac{31}{16}$

Now we get the solutions for the given fractions.

$\frac{21}{14}$=1.5 and $\frac{31}{16}$=1.9

When comparing them $\frac{21}{14}$ is smaller.

The LCD for the denominator 13, 7 is 91.

Calculate the fractions as $\frac{7*11}{19}$ and $\frac{13*21}{91}$

Now we get the solutions for the given fractions.

= $\frac{77}{91}$ and $\frac{273}{91}$

When comparing them $\frac{21}{7}$ is greater

The LCD for the denominators 17, 3 is 51.

Calculate the fractions as $\frac{3*13}{51}$ and $\frac{17*14}{15}$

Now we get the solutions for the given fractions.

= $\frac{39}{51}$ and $\frac{138}{51}$

When comparing them $\frac{14}{3}$ is greater

Convert the given fractions in to decimal form.

Calculate the fractions as $\frac{26}{14}$ and $\frac{34}{15}$

$\frac{26}{14}$=1.857 and $\frac{34}{15}$=2.266

When comparing them $\frac{34}{15}$ is greater

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