Simplify \(\frac{5}{8}+\frac{7}{12}\) to \(\frac{29}{24}\).
\[\frac{29}{24}(3\times \frac{23}{58}-2\times \frac{9}{58})\]
Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[\frac{29}{24}(\frac{3\times 23}{58}-2\times \frac{9}{58})\]
Simplify \(3\times 23\) to \(69\).
\[\frac{29}{24}(\frac{69}{58}-2\times \frac{9}{58})\]
Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[\frac{29}{24}(\frac{69}{58}-\frac{2\times 9}{58})\]
Simplify \(2\times 9\) to \(18\).
\[\frac{29}{24}(\frac{69}{58}-\frac{18}{58})\]
Simplify \(\frac{18}{58}\) to \(\frac{9}{29}\).
\[\frac{29}{24}(\frac{69}{58}-\frac{9}{29})\]
Simplify \(\frac{69}{58}-\frac{9}{29}\) to \(\frac{51}{58}\).
\[\frac{29}{24}\times \frac{51}{58}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{29\times 51}{24\times 58}\]
Simplify \(29\times 51\) to \(1479\).
\[\frac{1479}{24\times 58}\]
Simplify \(24\times 58\) to \(1392\).
\[\frac{1479}{1392}\]
Simplify.
\[\frac{17}{16}\]
Decimal Form: 1.0625
17/16
