[tex]a) \frac{4}{6} + \frac{1}{7} = \frac{2}{3} + \frac{1}{7} = \frac{14}{21} + \frac{3}{21} = \frac{14 + 3}{21} = \frac{17}{21} [/tex]
[tex]b) \frac{3}{4} - \frac{1}{2} = \frac{3}{4} - \frac{2}{4} = \frac{3 - 2}{4} = \frac{1}{4} [/tex]
[tex]c) \frac{3}{4} \times \frac{5}{2} = \frac{3 \times 5}{4 \times 2} = \frac{15}{8} [/tex]
[tex]d) \frac{14}{49} \div \frac{2}{7 } = \frac{2}{7} \div \frac{2}{7} = \frac{2}{7} \times \frac{7}{2} = 1[/tex]
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Verified answer
[tex]a) \frac{4}{6} + \frac{1}{7} = \frac{2}{3} + \frac{1}{7} = \frac{14}{21} + \frac{3}{21} = \frac{14 + 3}{21} = \frac{17}{21} [/tex]
[tex]b) \frac{3}{4} - \frac{1}{2} = \frac{3}{4} - \frac{2}{4} = \frac{3 - 2}{4} = \frac{1}{4} [/tex]
[tex]c) \frac{3}{4} \times \frac{5}{2} = \frac{3 \times 5}{4 \times 2} = \frac{15}{8} [/tex]
[tex]d) \frac{14}{49} \div \frac{2}{7 } = \frac{2}{7} \div \frac{2}{7} = \frac{2}{7} \times \frac{7}{2} = 1[/tex]