Question

Which ratio is greater?
1) 5:8 or 7:9
2) 3:10 or 2:15
3) 5:7 or 2:9​

Answer 1

Answer:

1) 7:9

2)3:10

3)5:7

Step-by-step explanation:

Write the ratios in fractional form and then compare them using cross multiplication or LCM method.

Answer 2

Answer:

5:8 > 7:9

3:10 < 2:15

5:7 < 2:9

Step-by-step explanation:

As per the information provided in the question, We have :

• 1) 5:8 or 7:9
• 2) 3:10 or 2:15
• 3) 5:7 or 2:9

We are asked to compare the ratios.

In order to campare the ratios, We need to convert them into mixed fractions.

1)

⇒5:8 = 5/8 = 1 3/5

⇒7:9 = 7/9 = 1 2/7

Now :

To compare 3/5 & 2/7, We will take LCM.

• LCM = 35

⇒3 × 7/5 = 21/5 = 4.2

⇒2 × 5/5 = 10/5 = 2

∴ 5:8 is greater than 7:9.

$\rule{200}2$

2)

⇒3:10 = 3/10 = 3 1/3

⇒2:15 = 2/15 = 7 1/2

∴ 2:15 is greater is than 3:10.

$\rule{200}2$

3)

⇒5:7 = 5/7 = 1 2/5

⇒2:9 = 2/9 = 4 1/2

∴ 2:9 is greater than 5:7.