What is -5/6 + 2/7 (fractions)
Answers
Answer:
-23/42
Step-by-step explanation:
Least common multiple of 66 and 77 is 4242. Convert -\frac{5}{6}\approx -0.833333333−65≈−0.833333333 and \frac{2}{7}\approx 0.28571428672≈0.285714286 to fractions with denominator 4242.
-\frac{35}{42}+\frac{12}{42}\approx -0.547619048−4235+4212≈−0.547619048
-\frac{35}{42}\approx -0.833333333\frac{12}{42}\approx 0.285714286
\frac{-35+12}{42}\approx -0.54761904842−35+12≈
−4235+4212≈−0.547619048

Since -\frac{35}{42}\approx -0.833333333−4235≈−0.833333333 and \frac{12}{42}\approx 0.2857142864212≈0.285714286 have the same denominator, add them by adding their numerators.
\frac{-35+12}{42}\approx -0.54761904842−35+12≈−0.547619048
42−35+12≈−0.547619048

Add -35−35 and 1212 to get -23−23.
-\frac{23}{42}\approx -0.547619048−4223≈−0.547619048
−4223≈−0.547619048
Answer:
-0.547619048
Step-by-step explanation:
-5/6+2/7
= -0.547619048