What is the answer to 4 7/9 - 6 4/15
Answer (1)
[tex]- 1 \frac{22}{45}[/tex]Solution Step 1:To subtract mixed numbers, we need to convert them into improper fraction.[tex]4 \frac{7}{9 } = \frac{(4 \times 9) + 7}{9} = \frac{43}{9} [/tex][tex]6 \frac{4}{15} = \frac{(6 \times 15) + 4}{15} = \frac{94}{15}[/tex]Step 2:Find the common denominator. The Least Common Multiple or LCM of 9 and 15 is 45[tex]\frac{43}{9} \times \frac{5}{5} = \frac{215}{45} [/tex][tex]\frac{94}{15} \times \frac{3}{3} = \frac{282}{45}[/tex]Step 3:Subtract the fraction [tex]\frac{215}{45} - \frac{282}{45} = \frac{ - 67}{45}[/tex]Step 4: Convert the improper fraction into mixed number[tex] \frac{ - 67}{45} = - 1 \frac{22}{45} [/tex]
