Fractions can be simplified by performing arithmetic operations.
The simplified expression of [tex]\mathbf{\frac 58 + (-\frac 78)}[/tex] is [tex]\mathbf{-\frac 14}[/tex]
The expression is given as:
[tex]\mathbf{\frac 58 + (-\frac 78)}[/tex]
Remove bracket
[tex]\mathbf{\frac 58 + (-\frac 78) = \frac 58 - \frac 78}[/tex]
Take LCM
[tex]\mathbf{\frac 58 + (-\frac 78) = \frac {5 - 7}8}[/tex]
Simplify the numerator
[tex]\mathbf{\frac 58 + (-\frac 78) = \frac {- 2}8}[/tex]
Rewrite as:
[tex]\mathbf{\frac 58 + (-\frac 78) = -\frac {2}8}[/tex]
Further simplify, by dividing the numerator and the denominator by 2
[tex]\mathbf{\frac 58 + (-\frac 78) = -\frac {1}4}[/tex]
Hence, the simplified expression of [tex]\mathbf{\frac 58 + (-\frac 78)}[/tex] is [tex]\mathbf{-\frac 14}[/tex]
Read more about fractions at:
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