Evaluate
\frac{869z-3081}{1075}
Expand
\frac{869z-3081}{1075}
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\frac{79}{43}\left(-\frac{39}{25}\right)+\frac{79}{43}\times \frac{11}{25}z
Use the distributive property to multiply \frac{79}{43} by -\frac{39}{25}+\frac{11}{25}z.
\frac{79\left(-39\right)}{43\times 25}+\frac{79}{43}\times \frac{11}{25}z
Multiply \frac{79}{43} times -\frac{39}{25} by multiplying numerator times numerator and denominator times denominator.
\frac{-3081}{1075}+\frac{79}{43}\times \frac{11}{25}z
Do the multiplications in the fraction \frac{79\left(-39\right)}{43\times 25}.
-\frac{3081}{1075}+\frac{79}{43}\times \frac{11}{25}z
Fraction \frac{-3081}{1075} can be rewritten as -\frac{3081}{1075} by extracting the negative sign.
-\frac{3081}{1075}+\frac{79\times 11}{43\times 25}z
Multiply \frac{79}{43} times \frac{11}{25} by multiplying numerator times numerator and denominator times denominator.
-\frac{3081}{1075}+\frac{869}{1075}z
Do the multiplications in the fraction \frac{79\times 11}{43\times 25}.
\frac{79}{43}\left(-\frac{39}{25}\right)+\frac{79}{43}\times \frac{11}{25}z
Use the distributive property to multiply \frac{79}{43} by -\frac{39}{25}+\frac{11}{25}z.
\frac{79\left(-39\right)}{43\times 25}+\frac{79}{43}\times \frac{11}{25}z
Multiply \frac{79}{43} times -\frac{39}{25} by multiplying numerator times numerator and denominator times denominator.
\frac{-3081}{1075}+\frac{79}{43}\times \frac{11}{25}z
Do the multiplications in the fraction \frac{79\left(-39\right)}{43\times 25}.
-\frac{3081}{1075}+\frac{79}{43}\times \frac{11}{25}z
Fraction \frac{-3081}{1075} can be rewritten as -\frac{3081}{1075} by extracting the negative sign.
-\frac{3081}{1075}+\frac{79\times 11}{43\times 25}z
Multiply \frac{79}{43} times \frac{11}{25} by multiplying numerator times numerator and denominator times denominator.
-\frac{3081}{1075}+\frac{869}{1075}z
Do the multiplications in the fraction \frac{79\times 11}{43\times 25}.
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