Simplify Signs: Simplify the negative signs.We have two negative signs in the expression, which when multiplied together will give a positive sign. So, −(129)−(−(47)) becomes −(129)+(47).
Find Common Denominator: Simplify the fractions.Before adding the fractions, we need to find a common denominator. The least common multiple of 12 and 4 is 12. So we need to convert 47 to a fraction with a denominator of 12.
Convert Fraction: Convert (47) to a fraction with a denominator of 12. To convert (47) to a fraction with a denominator of 12, we multiply both the numerator and the denominator by 3. This gives us (4×37×3)=1221.
Rewrite Expression: Rewrite the expression with the common denominator.Now we have −129 + 1221. We can now add these fractions.
Add Fractions: Add the fractions.−129+1221=1221−129=1221−9=1212.
Simplify Final Fraction: Simplify the fraction 1212. The fraction 1212 simplifies to 1, because any number divided by itself is equal to 1.
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