Объяснение:
[tex] \frac{x}{6} + \frac{y}{6} = \frac{x + y}{6} [/tex]
[tex] \frac{a}{3} - \frac{b}{3} = \frac{a - b}{3} [/tex]
[tex] \frac{m}{n} + \frac{4m}{n} = \frac{m + 4m}{n} = \frac{5m}{n} [/tex]
[tex] \frac{6c}{d} - \frac{2c}{d} = \frac{6c - 2c}{d} = \frac{4c}{d} [/tex]
[tex] \frac{m + n}{6} - \frac{m - 2n}{6} = \frac{m + n - (m - 2n)}{6} = \frac{m + n - m + 2n}{6} = \frac{3n}{6} = \frac{n}{2} [/tex]
[tex] \frac{2a - 3b}{6ab} + \frac{9b - 2a}{6ab} = \frac{2a - 3b + 9b - 2a}{6ab} = \frac{6b}{6ab} = \frac{1}{a} [/tex]
[tex] - \frac{5c + 4d}{cd} + \frac{4d + 9c}{cd} = \frac{ - (5c + 4d) + 4d + 9c}{cd} = \frac{ - 5c - 4d + 4d + 9c}{cd} = \frac{4c}{cd} = \frac{4}{d} [/tex]
[tex] \frac{8m + 3}{10 {m}^{2} } - \frac{2m + 3}{10 {m}^{2} } = \frac{8m + 3 - (2m + 3)}{10 {m}^{2} } = \frac{8m + 3 - 2m - 3}{10 {m}^{2} } = \frac{6m}{10 {m}^{2} } = \frac{3}{5m} [/tex]
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Answers & Comments
Объяснение:
[tex] \frac{x}{6} + \frac{y}{6} = \frac{x + y}{6} [/tex]
[tex] \frac{a}{3} - \frac{b}{3} = \frac{a - b}{3} [/tex]
[tex] \frac{m}{n} + \frac{4m}{n} = \frac{m + 4m}{n} = \frac{5m}{n} [/tex]
[tex] \frac{6c}{d} - \frac{2c}{d} = \frac{6c - 2c}{d} = \frac{4c}{d} [/tex]
[tex] \frac{m + n}{6} - \frac{m - 2n}{6} = \frac{m + n - (m - 2n)}{6} = \frac{m + n - m + 2n}{6} = \frac{3n}{6} = \frac{n}{2} [/tex]
[tex] \frac{2a - 3b}{6ab} + \frac{9b - 2a}{6ab} = \frac{2a - 3b + 9b - 2a}{6ab} = \frac{6b}{6ab} = \frac{1}{a} [/tex]
[tex] - \frac{5c + 4d}{cd} + \frac{4d + 9c}{cd} = \frac{ - (5c + 4d) + 4d + 9c}{cd} = \frac{ - 5c - 4d + 4d + 9c}{cd} = \frac{4c}{cd} = \frac{4}{d} [/tex]
[tex] \frac{8m + 3}{10 {m}^{2} } - \frac{2m + 3}{10 {m}^{2} } = \frac{8m + 3 - (2m + 3)}{10 {m}^{2} } = \frac{8m + 3 - 2m - 3}{10 {m}^{2} } = \frac{6m}{10 {m}^{2} } = \frac{3}{5m} [/tex]