Question

fill.in the blank.with correct symbol.
-4/5 [ ] 5/-7​

Answer 1

➤ Answer :-

$\tt \longrightarrow \dfrac{( - 4)}{5} \: ; \: \dfrac{5}{( - 7)}$

Convert them into like fractions by taking the LCM of the denominators i.e, 5 and (-7)

LCM of 5 and (-7) is 35.

$\tt \longrightarrow \dfrac{( - 4) \times 7}{5 \times 7} \: ; \: \dfrac{5 \times ( - 5)}{( - 7) \times ( - 5)}$

$\tt \longrightarrow \dfrac{( - 28)}{35} \: ; \: \dfrac{( - 25)}{35}$

Now, we can compare them by looking to the numerators.

$\tt \longrightarrow \dfrac{( - 28)}{35} \: \boxed{ < } \: \dfrac{( - 25)}{35}$

$\tt \longrightarrow \dfrac{( - 4)}{5} \: \boxed{ < } \: \dfrac{5}{( - 7)}$

$\Huge\therefore$$\tt\dfrac{5}{(-7)}$ is the greater fraction.

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Remember..........

• While comparing the fractions, if the fractions are unlike fractions, convert them into like fractions by taking the LCM of the denominators.
• If the fractions are like fractions, we can compare them easily by looking to the numerators.