Question

compare the following ratio. 2:3 and 4:5​

Answer 1

Step-by-step explanation:

Solution

(a) By converting to decimal: <br>

2:3 = (2)/(3) = 0.bar(6)

<br>

4:5 = (4)/(5) = 0.8

<br>

"As " 0.bar(6) lt 0.8, 2.:3 lt 4:5.

<br> (b) By converting to fractions: <br> Ratios can be compared by converting them to like fractions. <br>

2:3 = (2)/(3) = (2(5))/(3(5)) = (10)/(15)

<br>

4:5 = (4)/(5) = (4(3))/(5(3)) = (12)/(15)

<br>

"As "(10)/(15) lt (12)/(15), 2:3 lt 4:5.

Answer 2

Step-by-step explanation:

find the least common denominator or LCM of the two denominator

LCM of 3 and 5 is 15

Next find equivalent fraction of both fractional numbers with the denominator 15

for the first fraction , since 3*5=15,

2/3 = 2x5 /3x5 = 10/15

likewise, for the 2nd fraction ,since 3x5 =15,

4/5 = 4x3/5x3 = 12/15

since denominator are now the same, the fraction with the bigger ,numerator is the greatest fraction

10/15<12/15 or 2/3<4/5

may be u happy this answer