Question

Which Ratio Is greater?? 5:7 or 5:4​

Answer 1

Question:

• Which Ratio Is greater?? 5:7 or 5:4

Answer:

• Both are equal

Answer 2

Answer :-

We are given two ratios, that are 5 : 7 and 5 : 4 and asked to find which is greater. So, we can find the greater ratio by writing the ratio in fraction form and taking the LCM of denominators and then comparing the numerators.

$\sf\dfrac{5}{7} \:\& \:\dfrac{5}{4}$

LCM of 7 and 4 = 28

$\sf\dfrac{5}{7} \times \dfrac{4}{4} = \dfrac{20}{28}$

$\sf\dfrac{5}{4} \times \dfrac{7}{7} = \dfrac{35}{28}$

Clearly, we can observe that -

$\sf\dfrac{35}{28} > \dfrac{20}{28}$

Hence,

$\sf\dfrac{5}{4} > \dfrac{5}{7}$

Hence, 5 : 4 is greater than 5 : 7.

Also, to solve such type of questions having same numerator and different denominator, we can say that, larger the denominator smaller the fraction.