Question

compare 5/6 and 13/15

Answer 1

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This is the answer

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Answer 2

On Comparison between 5/6 and 13/15, 5/6 is smallest. i e, 25/30 < 26/30 so, ⅚ < 13/15.

Concept used:

Comparison of fractions:

• Among like fractions the fraction with the greatest numerator is the greatest.

• To compare unlike fraction we first convert them into like fractions and then compare their denominators.

Conversion of unlike fractions into like fractions:

Step1 : Find the LCM of denominators of the fractions.

Step 2:Divide the LCM by the respective denominators.

Step 3: Multiply the numerator and denominator of each fraction by the corresponding quotient obtained in step 2.

Given:

Fractions - 5/6 and 13/15

To find:

Compare 5/6 and 13/15

Solution:

Step1: Find the LCM of denominators 6 and 15 of the fractions and change the fraction into like fractions:

Prime factors of 6 = 2 × 3

Prime factors of 15 = 3 × 5

LCM of 6 and 15 = 2 × 3 × 5

LCM of 6 and 15 = 30

Step 2: Now divide the LCM 30 by the denominators 6 and 15:

30 ÷ 6 = 5

30 ÷ 15 = 2

Step 3: Multiply the numerator and denominator of fractions 5/6 and 13/15 by 5 and 2 :

⅚ = (5 × 5) ÷ (6 × 5)

⅚ = 25/ 30

And

13/15 = (13 × 2) ÷ (15 × 2)

13/15 = 26/30

Step 4: Compare the denominators obtained in step 3:

25/30 < 26/30

⅚ < 13/15

Ascending order : ⅚ < 13/15

⅚ is the smallest fraction.

Hence, the fractions in ascending order are ⅚ , 13/15.

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