Question

$$\frac{ 5 \times - \frac{ 51 }{ 73 } }{ 3 } - \frac{ (- \frac{ 51 }{ 73 } -1) }{ 4 }$$

Answer

-54/73

Solution


Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[\frac{\frac{5\times -51}{73}}{3}-\frac{-\frac{51}{73}-1}{4}\]
Simplify  \(5\times -51\)  to  \(-255\).
\[\frac{\frac{-255}{73}}{3}-\frac{-\frac{51}{73}-1}{4}\]
Move the negative sign to the left.
\[\frac{-\frac{255}{73}}{3}-\frac{-\frac{51}{73}-1}{4}\]
Simplify  \(-\frac{51}{73}-1\)  to  \(-\frac{124}{73}\).
\[\frac{-\frac{255}{73}}{3}-\frac{-\frac{124}{73}}{4}\]
Move the negative sign to the left.
\[-\frac{\frac{255}{73}}{3}-\frac{-\frac{124}{73}}{4}\]
Simplify  \(\frac{\frac{255}{73}}{3}\)  to  \(\frac{255}{73\times 3}\).
\[-\frac{255}{73\times 3}-\frac{-\frac{124}{73}}{4}\]
Simplify  \(73\times 3\)  to  \(219\).
\[-\frac{255}{219}-\frac{-\frac{124}{73}}{4}\]
Simplify  \(\frac{255}{219}\)  to  \(\frac{85}{73}\).
\[-\frac{85}{73}-\frac{-\frac{124}{73}}{4}\]
Move the negative sign to the left.
\[-\frac{85}{73}-(-\frac{\frac{124}{73}}{4})\]
Simplify  \(\frac{\frac{124}{73}}{4}\)  to  \(\frac{124}{73\times 4}\).
\[-\frac{85}{73}-(-\frac{124}{73\times 4})\]
Simplify  \(73\times 4\)  to  \(292\).
\[-\frac{85}{73}-(-\frac{124}{292})\]
Simplify  \(\frac{124}{292}\)  to  \(\frac{31}{73}\).
\[-\frac{85}{73}-(-\frac{31}{73})\]
Remove parentheses.
\[-\frac{85}{73}+\frac{31}{73}\]
Simplify.
\[-\frac{54}{73}\]

Decimal Form: -0.739726