Question

Arrange the fraction 7/16 5/12 17/32 23/36 in ascending order​

Answer 1

Answer:5/12 < 7/16 < 17/32 < 23/36

Step-by-step explanation:

LCM of 16,12,32,36 = 288

so, 7/16 = 126/288

(multiplying numerator and denominator by 18 because 228/16 =18)

so, 5/12 = 120/288

(multiplying numerator and denominator by 24 because 228/12 =24)

so, 17/32 = 153/288

(multiplying numerator and denominator by 9 because 228/32 =9)

so, 23/36 = 184/288

(multiplying numerator and denominator by 8 because 228/36 =8)

therefore, the new fractions are=

126/288, 120/288, 153/288, 184/288

since denominator of all the fractions are same, we compare numerators

we observe, 120<126<153<184

therefore the fractions in ascending order:

5/12 < 7/16 < 17/32 < 23/36