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Add the following rational numbers: a) -2/5 and 4/5, b) -7/3 and 1/3, c) -11/8 and 5/8, d) -6/11 and -4/11, e) 5/6 and -1/6, f) [omitted]
Mathematics
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Step-by-step solution
21 stepsHere are the solutions to your addition problems:
1. Add the following rational numbers:
a) and
Add the numerators since the denominators are the same.
Simplify the numerator.
The sum is .
b) and
Add the numerators.
Simplify the numerator.
Simplify the fraction.
The sum is .
c) and
Add the numerators.
Simplify the numerator.
Simplify the fraction by dividing the numerator and denominator by 2.
The sum is .
d) and
Add the numerators.
Simplify the numerator.
The sum is .
e) and
Add the numerators.
Simplify the numerator.
Simplify the fraction by dividing the numerator and denominator by 2.
The sum is .
f) and
Add the numerators.
Simplify the numerator.
Simplify the fraction by dividing the numerator and denominator by 3.
The sum is .
2. Add the following rational numbers:
a) and
Find the least common multiple (LCM) of the denominators 4 and 5, which is 20.
Convert the fractions to equivalent fractions with the common denominator.
Add the numerators.
Simplify the numerator.
The sum is .
b) and
Find the LCM of 8
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