Subtract. \[ \frac{5}{6}-\frac{3}{10}=\square \]
Real Tutor Solution
Answer
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Reviewed and approved by the UpStudy tutoring team
Mind Expander
To subtract the fractions \(\frac{5}{6}\) and \(\frac{3}{10}\), we first need a common denominator. The least common multiple (LCM) of 6 and 10 is 30. Now, we convert both fractions: \[ \frac{5}{6} = \frac{5 \times 5}{6 \times 5} = \frac{25}{30} \] \[ \frac{3}{10} = \frac{3 \times 3}{10 \times 3} = \frac{9}{30} \] Now we can subtract the two fractions: \[ \frac{25}{30} - \frac{9}{30} = \frac{25 - 9}{30} = \frac{16}{30} \] Finally, we can simplify \(\frac{16}{30}\) by dividing both the numerator and denominator by 2: \[ \frac{16}{30} = \frac{8}{15} \] So, \(\frac{5}{6} - \frac{3}{10} = \frac{8}{15}\).