Question

Which ratio is smaller ? 7:10 or 2:5

Answer 1

Answer:

2:5 is smaller. You need to first make their denominator common before proceeding to comparing them. As least common multiple of 5 and 10 is 10, 2:5 becomes 4:10, which is still smaller than 7:10.

Step-by-step explanation:

Answer 2

The smaller ratio is 2:5

Given : The two ratios are, 7:10 and 2:5

To find : The smaller ratio.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to determine the smaller ratio)

First ratio = 7:10

Second ratio = 2:5

First of all, we have to calculate the LCM of the consequents (i.e. 10 and 5 respectively) of the given two ratios.

LCM of consequents (i.e. 10 and 5) :

5| 10,5

______

2| 2,1

_______

ㅤ 1,1

So, LCM = 5×2 = 10

Now, we have to divide the LCM by the consequents of the two ratios and calculate the respective quotients.

So,

• For first ratio the quotient is = 10÷10 = 1
• For second ratio the quotient is = 10÷5 = 2

Now, we have to multiply both the antecedent and consequent of the first ratio with the quotient which we previously got for the first ratio. Similarly, we have to multiply both the antecedent and consequent of the second ratio with the quotient which we previously got for the second ratio.

After multiplication :

• First ratio = (7×1) : (10×1) = 7:10
• Second ratio = (2×2) : (5×2) = 4:10

Now, the consequents of two ratios are equal. So, the difference will be determined from their antecedents.

The ratio which has lesser consequent will be considered as smaller between the two ratios.

As, 4<7

So, 4:10 < 7:10

Or, 2:5 < 7:10

Hence, the smaller ratio is 2:5