Math Problem Statement
Compare the following fractions using the symbols >, <, or =. Show all the calculations to support your answer.
Solution
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:
To compare these fractions, we can find a common denominator:
Both fractions now have the same denominator . We can then directly compare their numerators:
If , then .
If , then .
If , then .
2. Converting Fractions to Decimals
Alternatively, we can convert the fractions into decimals by performing division:
By comparing the decimal values, we can determine which fraction is greater, smaller, or if they are equal.
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Math Problem Analysis
Mathematical Concepts
Fractions
Comparison of Fractions
Formulas
Common Denominator: (a/b = a*d / b*d) and (c/d = c*b / d*b)
Fraction to Decimal Conversion: Decimal value of a/b = a ÷ b
Theorems
None
Suitable Grade Level
Grade 7-8
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