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Operation on Rational Numbers
In this topic we will study about addition, subtraction, multiplication and division of rational numbers.
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Addition of Rational Numbers
Step 1: Write the rational number in the standard form.
Step 2: Make the denominator same by taking the LCM of denominators.
Step 3: Write all the rational number with the same denominator.
Step 4: Add the numerators
Step 5: Write the numerator getting after addition on the denominator.
Step 6: Reduce the rational number to lowest term.
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Add \[2\frac{3}{5},\frac{-15}{13},\frac{-13}{-15},-4\frac{3}{5}\]
Solution:
Step 1: The standard form of given rational numbers are
\[\frac{13}{5},\frac{-15}{13},\frac{13}{15},\frac{-23}{5}\]
Step 2: LCM of 5, 13, 15, 5 is 195
Step3: \[\frac{13}{5}=\frac{13\times
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