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7. Subtract \( 9 / 10 \) and 4/10. 8. 8/7- \( \qquad \) \( =3 / 7 \) 9. \( 8 / 10- \) \( \qquad \) \( =3 / 10 \) 10. Subtract \( 4 / 6 \) and \( 3 / 6 \). 11. Sam bought \( 3 / 8 \mathrm{~kg} \) of apples and John bought \( 5 / 8 \mathrm{~kg} \) of apples. What was the total; quantity of apple that was bought. 12. Shaina got \( 4 / 5 \) of a packet of peanuts. After she ate some, \( 2 / 5 \) of the peanuts remained. What fraction peanuts did she eat? 13. Rahul and his friend shared a pie. Rahul ate \( 3 / 8 \) of the pie and his friend ate \( 2 / 8 \) of the pie. How much pie did they eat altogether and how much was left? 14. 4/10- \( \qquad \) \( =2 / 10 \) 15. \( \qquad \) \( -6 / 9=3 / 9 \)

Ask by Klein Zimmerman. in Saudi Arabia
Mar 08,2025

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**7. Subtract \(\frac{9}{10}\) and \(\frac{4}{10}\):** \[ \frac{9}{10} - \frac{4}{10} = \frac{5}{10} = \frac{1}{2} \] **8. Solve for the blank in \(\frac{8}{7} - \,\,\underline{\quad} \,\, = \frac{3}{7}\):** \[ \frac{8}{7} - \frac{5}{7} = \frac{3}{7} \] **9. Solve for the blank in \(\frac{8}{10} - \,\,\underline{\quad} \,\, = \frac{3}{10}\):** \[ \frac{8}{10} - \frac{5}{10} = \frac{3}{10} \] **10. Subtract \(\frac{4}{6}\) and \(\frac{3}{6}\):** \[ \frac{4}{6} - \frac{3}{6} = \frac{1}{6} \] **11. Total apples bought by Sam and John:** \[ \frac{3}{8} + \frac{5}{8} = 1 \text{ kg} \] **12. Fraction of peanuts Shaina ate:** \[ \frac{4}{5} - \frac{2}{5} = \frac{2}{5} \] **13. Pie eaten by Rahul and his friend:** \[ \frac{3}{8} + \frac{2}{8} = \frac{5}{8} \text{ eaten}, \quad \frac{3}{8} \text{ left} \] **14. Solve for the blank in \(\frac{4}{10} - \,\,\underline{\quad} \,\, = \frac{2}{10}\):** \[ \frac{4}{10} - \frac{2}{10} = \frac{2}{10} = \frac{1}{5} \] **15. Solve for the blank in \(\underline{\quad} - \frac{6}{9} = \frac{3}{9}\):** \[ 1 - \frac{6}{9} = \frac{3}{9} \]

Solution

**7. Subtract \(\frac{9}{10}\) and \(\frac{4}{10}\).** We compute: \[ \frac{9}{10} - \frac{4}{10} = \frac{9-4}{10} = \frac{5}{10} = \frac{1}{2} \] **8. Solve for the blank in \(\frac{8}{7} - \,\,\underline{\quad} \,\, = \frac{3}{7}\).** Let the unknown fraction be \(x\). Then: \[ \frac{8}{7} - x = \frac{3}{7} \] Subtract \(\frac{3}{7}\) from \(\frac{8}{7}\): \[ x = \frac{8}{7} - \frac{3}{7} = \frac{5}{7} \] **9. Solve for the blank in \(\frac{8}{10} - \,\,\underline{\quad} \,\, = \frac{3}{10}\).** Let the unknown fraction be \(x\). Then: \[ \frac{8}{10} - x = \frac{3}{10} \] Subtract \(\frac{3}{10}\) from \(\frac{8}{10}\): \[ x = \frac{8}{10} - \frac{3}{10} = \frac{5}{10} = \frac{1}{2} \] **10. Subtract \(\frac{4}{6}\) and \(\frac{3}{6}\).** We compute: \[ \frac{4}{6} - \frac{3}{6} = \frac{4-3}{6} = \frac{1}{6} \] **11. Sam bought \(\frac{3}{8}\) kg of apples and John bought \(\frac{5}{8}\) kg of apples. What was the total quantity of apple that was bought.** We add the two amounts: \[ \frac{3}{8} + \frac{5}{8} = \frac{3+5}{8} = \frac{8}{8} = 1 \text{ kg} \] **12. Shaina got \(\frac{4}{5}\) of a packet of peanuts. After she ate some, \(\frac{2}{5}\) of the peanuts remained. What fraction of the peanuts did she eat?** The amount eaten is the original amount minus the remaining amount: \[ \frac{4}{5} - \frac{2}{5} = \frac{4-2}{5} = \frac{2}{5} \] **13. Rahul and his friend shared a pie. Rahul ate \(\frac{3}{8}\) of the pie and his friend ate \(\frac{2}{8}\) of the pie. How much pie did they eat altogether and how much was left?** First, find the total eaten: \[ \frac{3}{8} + \frac{2}{8} = \frac{3+2}{8} = \frac{5}{8} \] The remaining pie is: \[ 1 - \frac{5}{8} = \frac{8}{8} - \frac{5}{8} = \frac{3}{8} \] **14. Solve for the blank in \(\frac{4}{10} - \,\,\underline{\quad} \,\, = \frac{2}{10}\).** Let the unknown fraction be \(x\). Then: \[ \frac{4}{10} - x = \frac{2}{10} \] Subtract \(\frac{2}{10}\) from \(\frac{4}{10}\): \[ x = \frac{4}{10} - \frac{2}{10} = \frac{2}{10} = \frac{1}{5} \] **15. Solve for the blank in \(\underline{\quad} - \frac{6}{9} = \frac{3}{9}\).** Let the unknown fraction be \(x\). Then: \[ x - \frac{6}{9} = \frac{3}{9} \] Add \(\frac{6}{9}\) to both sides: \[ x = \frac{3}{9} + \frac{6}{9} = \frac{9}{9} = 1 \]

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Bonus Knowledge

Subtracting fractions can be a piece of cake (or pie)! To subtract \( \frac{9}{10} \) and \( \frac{4}{10} \), simply find their common denominator (which is already 10), and then subtract the numerators: \( \frac{9 - 4}{10} = \frac{5}{10} \). Simplifying gives you \( \frac{1}{2} \). For adding fractions like in Sam's apple adventure, when he bought \( \frac{3}{8} \) kg and John bought \( \frac{5}{8} \) kg, just add their numerators over the common denominator of 8: \( \frac{3 + 5}{8} = \frac{8}{8} \). That means they bought a whole kg of apples together! Isn’t that a fruitful collaboration?

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