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Practice: Add and Subtract Rationals --Quiz --- Level G
What is the difference? Complete the equation.

IReady Practice Add And Subtract Rationals Quiz Level G What Is The Difference Complete The Equation class=

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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]

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