a) 3\;:\;5

b) 4\;:\;7

c) both are equal

correct answer is: a) 3\;:\;5

#### Explanation

One ratio is 3\;:\;5 or \large\frac{3}{5} .

And the other ratio is 4\;:\;7 or \large\frac{4}{7} .

Now, LCM of 5 and 7 is = 35.

So,

3\;:\;5=\large\frac{3}{5}\normalsize=\large\frac{3\times7}{5\times7}\normalsize=\large\frac{21}{35} _{[convert equal denominator]}

4\;:\;7=\large\frac{4}{7}\normalsize=\large\frac{4\times5}{7\times5}\normalsize=\large\frac{20}{35} _{[convert equal denominator]}

Now, we see that \large\frac{21}{35} is greater then \large\frac{20}{35} . **Ans:** 3\;:\;5 is greater than 4\;:\;7 .

###### Another form of this specific math question exists:

**Comparing the ratios 3:5 and 4:7, which one is greater?****When comparing 3:5 and 4:7, which ratio denotes a larger quantity?**