Question

Which ratio is greater?
5:6 or 6:7

Answer 1

Answer:

Given,

Which ratio is greater 5:6 or 6:7

Find,

The ratio is greater

Step-by-step explanation:

SO,

5:6 or 6:7

5:6= 5/6 and 6:7= 6/7

Converting them into equivalent fraction by taking L.C.M of 6 and 7=42

=> 5/6 = 5×7/6×7 = 35/42

=> 6/7 = 6×6/7×6 = 36/42

As 36 > 35 ∴ 36/42 > 35/42

=> 6/7 > 5/6

Hence,

6:7 is the greater ratio.

Answer 2

Answer:

The greater ratio is $6:7.$

Step-by-step explanation:

As per the given data,

We have to find that from both the given ratio which is greater,

Given ratios:-

$5:6$ or $6:7$

A ratio shows the relationship that one quantity has to another of very same.

To determine which ratio is bigger, make the denominators of the ratios common and then compare those ratios.

The ratios are written as:

$=>5:6= \frac{5}{6}$

$=>6:7= \frac{6}{7}$

By taking the L.C.M of $6$ and $7$ they can be converted into equivalent fractions.

$=>\frac{5}{6}= \frac{5\times 7}{6\times 7}=\frac{35}{42}$

$=>\frac{6}{7}= \frac{6\times 6}{7\times 6}=\frac{36}{42}$

As we can see that,

$=>\frac{35}{42}<\frac{36}{42}$

Therefore,

$=>\frac{5}{6}<\frac{6}{7}$

Hence, 6:7 is the greater ratio.