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At the dealership where she works, Stacy fulfilled 512\frac{5}{12} of her quarterly sales goal in January and another 112\frac{1}{12} of her sales goal in February. What fraction of her quarterly sales goal had Stacy reached by the end of February?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline__\_\_ of her quarterly sales goal

Full solution

Q. At the dealership where she works, Stacy fulfilled 512\frac{5}{12} of her quarterly sales goal in January and another 112\frac{1}{12} of her sales goal in February. What fraction of her quarterly sales goal had Stacy reached by the end of February?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline__\_\_ of her quarterly sales goal
  1. Add Fractions: First, let's add up the fractions of the sales goal Stacy achieved in January and February. She fulfilled 512\frac{5}{12} in January and 112\frac{1}{12} in February. So, we add these fractions together:\newline512+112=612\frac{5}{12} + \frac{1}{12} = \frac{6}{12}
  2. Simplify Fraction: Next, we simplify the fraction 612\frac{6}{12} to its lowest terms. Since 66 and 1212 are both divisible by 66, we divide the numerator and the denominator by 66: 6÷6=16 \div 6 = 1 and 12÷6=212 \div 6 = 2, so 612\frac{6}{12} simplifies to 12\frac{1}{2}