\(2\frac{3}{8}\) ÷ \(1\frac{1}{4}\) equals \(1\frac{9}{10}\).
First, convert \(2 \frac{3}{8}\) to improper fraction. Use this rule: \(a \frac{b}{c}\) = \(\frac{ac+b}{c}\). Your problem should look like: \(\frac{2x8+3}{8}\) ÷ \(1\frac{1}{4}\).
Second, simplify 2 x 8 to get 16. Your problem should look like: \(\frac{16+3}{8}\) ÷ \(1 \frac{1}{4}\).
Third, simplify 16 + 3 to get 19. Your problem should look like: \(\frac{19}{8}\) ÷ \(1 \frac{1}{4}\).
Fourth, convert \(1\frac{1}{4}\) to improper fraction. Use the same rule as earlier. Your problem should look like: \(\frac{19}{8}\) ÷ \(\frac{4+1}{4}\).
Fifth, simplify 4 + 1 to get 5. Your problem should look like: \(\frac{19}{8}\) ÷ \(\frac{5}{4}\).
Sixth, apply this rule: a ÷ \(\frac{b}{c}\) = a × \(\frac{c}{b}\). Your problem should look like: \(\frac{19}{8}\) × \(\frac{4}{5}\).
Seventh, apply this rule: \(\frac{a}{b}\) × \(\frac{c}{d}\) = \(\frac{ac}{bd}\). Your problem should look like: \(\frac{19x4}{8x5}\).
Eighth, simplify 19 × 4 to get 76. Your problem should look like: \(\frac{76}{8x5}\).
Ninth, simplify 8 × 5 to get 40. Your problem should look like: \(\frac{76}{40}\).
Tenth, simplify. Your problem should look like: \(\frac{19}{10}\).
Eleventh, convert to mixed fraction. Your problem should look like: \(1 \frac{9}{10}\) which is the answer.
Answer as mixed number form: \(1\frac{9}{10}\).
Answer as exact form: \(\frac{19}{10}\).
Answer as decimal form: 1.9.
