Answer:
The difference of [tex]-1\frac{2}{5}-(-\frac{4}{5})[/tex] is [tex]\mathbf{\frac{-3}{5} }[/tex]
Step-by-step explanation:
We need to find the difference of: [tex]-1\frac{2}{5}-(-\frac{4}{5})[/tex]
First of all convert mixed fraction into improper fraction
[tex]-1\frac{2}{5}-(-\frac{4}{5})\\=\frac{-7}{5} -(-\frac{4}{5})[/tex]
Now, we know that negative sign multiplied by negative sign is positive i.e. -(-)=+
So, we get:
[tex]=\frac{-7}{5} +\frac{4}{5}[/tex]
For solving fractions, we need to take LCM of denominator.
LCM of 5 and 5 is 5
[tex]=\frac{-7*1+4*1}{5}\\=\frac{-7+4}{5} \\=\frac{-3}{5}[/tex]
So, the difference of: [tex]-1\frac{2}{5}-(-\frac{4}{5})[/tex] is [tex]\mathbf{\frac{-3}{5} }[/tex]
