Compare the following fractions using the symbols >, <, or =. Show all the calculations to support your answer.

To compare two fractions, we need to determine which fraction is larger, smaller, or if they are equal. The most common method is to find a common denominator or convert the fractions into decimals.

Since you haven't provided the specific fractions, let's consider the general approach:

### 1. Finding a Common Denominator

Given two fractions: 

\[
\frac{a}{b} \quad \text{and} \quad \frac{c}{d}
\]

To compare these fractions, we can find a common denominator:

\[
\frac{a}{b} = \frac{a \cdot d}{b \cdot d}, \quad \frac{c}{d} = \frac{c \cdot b}{d \cdot b}
\]

Both fractions now have the same denominator \( b \cdot d \). We can then directly compare their numerators:

\[
a \cdot d \quad \text{and} \quad c \cdot b
\]

If \( a \cdot d > c \cdot b \), then \( \frac{a}{b} > \frac{c}{d} \).

If \( a \cdot d < c \cdot b \), then \( \frac{a}{b} < \frac{c}{d} \).

If \( a \cdot d = c \cdot b \), then \( \frac{a}{b} = \frac{c}{d} \).

### 2. Converting Fractions to Decimals

Alternatively, we can convert the fractions into decimals by performing division:

\[
\text{Decimal value of } \frac{a}{b} = \frac{a}{b}, \quad \text{Decimal value of } \frac{c}{d} = \frac{c}{d}
\]

By comparing the decimal values, we can determine which fraction is greater, smaller, or if they are equal.

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Learn how to compare fractions using common denominators and decimal conversion. This tutorial covers key concepts in fractions, helping students understand how to compare and order fractions. Suitable for students in Grades 7-8.

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