Question

Which is larger -4/5 or -1/5

Answer 1

Answer:

-1/5 is larger than -4/5, because it is closer to zero. A number which is the closest to zero on minus is the biggest.

Answer 2

`\sf which \: is \: larger \sf(-(4)/(5)) or \sf(-(1)/(5)):`

Write down the fractions to be compared:

`\implies\sf-(4)/(5) \quad \text{and} \quad -(1)/(5)\]`

Compare the numerators while keeping the denominators the same:

`\implies\sf\begin{align}-(4)/(5) &\quad \text{vs} \quad -(1)/(5) \\\end{align}`

The numerators are (-4) and (-1). Since both fractions have negative sign and the denominators are the same ((5)), we are comparing the magnitude of the numerators.

Since (-1) is greater in magnitude than (-4), we can conclude that

`\sf(-(1)/(5)) is \: larger \: than (-(4)/(5)).`

Putting it all together:

`\[\begin{align}-(4)/(5) &\quad \text{vs} \quad-(1)/(5) \\\text{Comparing numerators:} & \\-4 &< -1 \\\text{Conclusion:} & \\-(1)/(5) &>-(4)/(5)\end{align}\]`

So, -1/5 is indeed larger than -4/5.