Subtract and simplify, if possible

Explanation

The LCD for \(\frac{7}{10}\) and \(\frac{8}{15}\) is 30

• Build \(\frac{7}{10}\) and \(\frac{8}{15}\) so that their denominators are 30
  • \(16\frac{7}{10} \cdot \frac33 - 9\frac{8}{15} \cdot \frac22\)
• Subtract the whole numbers and the fractions separately
  • = \(16\frac{21}{30} - 9\frac{16}{30} = 7\frac{5}{30}\)
• Simplify
  • = \(7\frac{5}{30} = 7\frac16\)