question_answer

Subtract \[8\frac{1}{3}\] from \[\frac{100}{9}\]

Answer:

Given fractions are \[8\frac{1}{3}\]  and \[\frac{100}{9}\]. First, convert mixed fraction into improper fraction. i.e.,       \[8\frac{1}{3}=\frac{25}{3}\]                                                                                                    Now,     Difference \[=\frac{100}{9}-\frac{25}{3}\]                         \[=\frac{100}{9}-\frac{25\times 3}{3\times 3}\]                                                                                                      \[=\frac{100}{9}-\frac{75}{9}\]                                                                                                                          \[=\frac{100-75}{9}=\frac{25}{9}\]                                                                                                                               \[=2\frac{7}{9}\]