Question

subtract.
(1) (\frac{4}{5} - \frac{1}{5} =)
(2) (1\frac{3}{5} - \frac{2}{5} =)
(3) (2\frac{4}{5} - \frac{2}{5} =)
(4) (2\frac{5}{7} - 1\frac{5}{7} =)
(5) (2\frac{7}{9} - 2\frac{2}{9} =)
(6) (3\frac{5}{7} - 1\frac{2}{7} =)
(7) (3\frac{3}{8} - 2 =)
(8) (4\frac{5}{8} - 2\frac{5}{8} =)

Explanation:

Step1: Solve \(\frac{4}{5}-\frac{1}{5}\)

For subtracting fractions with the same denominator, we subtract the numerators and keep the denominator. So \(\frac{4 - 1}{5}=\frac{3}{5}\).

Step2: Solve \(1\frac{3}{5}-\frac{2}{5}\)

First, convert the mixed number to an improper fraction: \(1\frac{3}{5}=\frac{1\times5 + 3}{5}=\frac{8}{5}\). Then subtract: \(\frac{8-2}{5}=\frac{6}{5}=1\frac{1}{5}\).

Step3: Solve \(2\frac{4}{5}-\frac{2}{5}\)

Convert the mixed number: \(2\frac{4}{5}=\frac{2\times5+4}{5}=\frac{14}{5}\). Subtract: \(\frac{14 - 2}{5}=\frac{12}{5}=2\frac{2}{5}\).

Step4: Solve \(2\frac{5}{7}-1\frac{5}{7}\)

Subtract the whole numbers and the fractions separately. The whole numbers: \(2 - 1 = 1\), the fractions: \(\frac{5}{7}-\frac{5}{7}=0\). So the result is \(1+0 = 1\).

Step5: Solve \(2\frac{7}{9}-2\frac{2}{9}\)

Subtract the whole numbers (\(2-2 = 0\)) and the fractions (\(\frac{7 - 2}{9}=\frac{5}{9}\)). So the result is \(0+\frac{5}{9}=\frac{5}{9}\).

Step6: Solve \(3\frac{5}{7}-1\frac{2}{7}\)

Subtract whole numbers: \(3 - 1 = 2\), subtract fractions: \(\frac{5-2}{7}=\frac{3}{7}\). Combine: \(2+\frac{3}{7}=2\frac{3}{7}\).

Step7: Solve \(3\frac{3}{8}-2\)

Subtract the whole numbers: \(3 - 2 = 1\), keep the fraction. So the result is \(1\frac{3}{8}\).

Step8: Solve \(4\frac{5}{8}-2\frac{5}{8}\)

Subtract whole numbers: \(4 - 2 = 2\), subtract fractions: \(\frac{5}{8}-\frac{5}{8}=0\). So the result is \(2+0 = 2\).

Answer:

(1) \(\frac{3}{5}\)
(2) \(1\frac{1}{5}\)
(3) \(2\frac{2}{5}\)
(4) \(1\)
(5) \(\frac{5}{9}\)
(6) \(2\frac{3}{7}\)
(7) \(1\frac{3}{8}\)
(8) \(2\)