question_answer

Multiply and reduce to lowest form (if possible):

(a) \[\frac{2}{3}\times \frac{5}{4}\]

(b)\[\frac{1}{3}\times \frac{15}{8}\]

(c) \[\frac{4}{5}\times \frac{12}{7}\]

Answer:

We have,

(a) \[\frac{2}{3}\times \frac{5}{4}=\frac{2\times 5}{3\times 4}=\frac{1\times 5}{3\times 2}=\frac{5}{6}\]

(b) \[\frac{1}{3}\times \frac{15}{8}=\frac{1\times 15}{3\times 8}=\frac{1\times 5}{1\times 8}=\frac{5}{8}\]

(c) \[\frac{4}{5}\times \frac{12}{7}=\frac{4\times 12}{5\times 7}=\frac{48}{35}=1\frac{13}{35}\]