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Comparing Mixed Fractions

YThe fraction with greater whole number part is greater. For example 312 > 212; 413 > 313.

When the whole number parts are equal, we first convert mixed fractions to improper fractions and then compare the two by using cross multiplication method.

Solved example on Comparing Mixed Fractions:

Arrange the fractions 415, 59, 718 and 1324 in ascending order.

Solution:

Prime factors of 15, 9, 18 and 24 are 15 = 3 × 5; 9 = 3 × 3; 18 = 2 × 3 × 3 and 24 = 2 × 2 × 2 × 3

LCM of 15, 9, 18 and 24 is 360

Now, 415 = 4×2415×24,

59 = 5×409×40,

718 = 7×2018×20 and

1324 = 13×1524×15

By comparing the numerators we get 96360, 200360, 140360, 195360;

96 < 140 < 195 < 200

Hence, ascending order is 415, 718, 1324 and 59.


Questions and Answers on Comparing Mixed Fractions:

1. Arrange the given fractions in descending order.

(i) 56, 58, 54

(ii) 2116, 314, 312

(iii) 54, 312, 13

(iv) 27, 914, 1114


Answers:

(i) 54, 56, 58

(ii) 312, 314, 2116

(iii) 54, 13, 312

(iv) 1114, 914, 27


Comparing Mixed Fractions

Word Problems on Comparing Mixed Fractions:

2. Rachel took 514 m of cloth and Ria took 423 m of cloth. Who took the longer length?

Answer: Rachel

 

3. Jack lives 2 kilometer away from school and Sam lives 156 km away from the school. Who lives closer to the school and by how much?

Answer: Sam







4th Grade Math Activities

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