Question

compare the following fractions 2 4
_
5

_
3​

Answer 1

Answer:

4

_ and 5—42

3

Step-by-step explanation:

55555-555555

Answer 2

Step-by-step explanation:

$\dfrac{2}{5} =^? \dfrac{4}{3}$

The lowest common multiple of the denominators, $5$ and $3$ is $15$

Converting both the fractions with the common denominator $15$, we have:

$\dfrac{2 \cdot 3}{5 \cdot 3} =^? \dfrac{4 \cdot 5}{3 \cdot 5}$

$= \dfrac{6}{15} =^? \dfrac{20}{15}$

Since the numerator of the first fraction is less than that of the second fraction ($6 < 20$), it follows that the fractions are compared as:

$\dfrac{6}{15} < \dfrac{20}{15}$

$= \dfrac{2}{5} < \dfrac{4}{3}$ [These were the original fractions from the question.]

[Also, $=^?$ is a funky operator that I write for saying "how is a compared to b". Please do not use it ⊙﹏⊙]