Question

$$2\frac{5}{8}\div(-2\frac{1}{3})+\frac{1}{4}; =$$

Answer

-25/56+1/4;

Solution


Simplify  \(\frac{21}{3}\)  to  \(7\).
\[\begin{aligned}&\frac{\frac{25}{8}}{-7}+\frac{1}{4\\&}\end{aligned}\]
Move the negative sign to the left.
\[\begin{aligned}&-\frac{\frac{25}{8}}{7}+\frac{1}{4\\&}\end{aligned}\]
Simplify  \(\frac{\frac{25}{8}}{7}\)  to  \(\frac{25}{8\times 7}\).
\[\begin{aligned}&-\frac{25}{8\times 7}+\frac{1}{4\\&}\end{aligned}\]
Simplify  \(8\times 7\)  to  \(56\).
\[\begin{aligned}&-\frac{25}{56}+\frac{1}{4\\&}\end{aligned}\]