Processing math: 100%

Subscribe to our YouTube channel for the latest videos, updates, and tips.


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

From Comparing Mixed Fractions to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. 5th Grade Circle Worksheet | Free Worksheet with Answer |Practice Math

    Jul 10, 25 11:41 AM

    Radii of the circRadii, Chords, Diameters, Semi-circles
    In 5th Grade Circle Worksheet you will get different types of questions on parts of a circle, relation between radius and diameter, interior of a circle, exterior of a circle and construction of circl…

    Read More

  2. Construction of a Circle | Working Rules | Step-by-step Explanation |

    Jul 09, 25 01:29 AM

    Parts of a Circle
    Construction of a Circle when the length of its Radius is given. Working Rules | Step I: Open the compass such that its pointer be put on initial point (i.e. O) of ruler / scale and the pencil-end be…

    Read More

  3. Combination of Addition and Subtraction | Mixed Addition & Subtraction

    Jul 08, 25 02:32 PM

    Add and Sub
    We will discuss here about the combination of addition and subtraction. The rules which can be used to solve the sums involving addition (+) and subtraction (-) together are: I: First add

    Read More

  4. Addition & Subtraction Together |Combination of addition & subtraction

    Jul 08, 25 02:23 PM

    Addition and Subtraction Together Problem
    We will solve the different types of problems involving addition and subtraction together. To show the problem involving both addition and subtraction, we first group all the numbers with ‘+’ and…

    Read More

  5. 5th Grade Circle | Radius, Interior and Exterior of a Circle|Worksheet

    Jul 08, 25 09:55 AM

    Semi-circular Region
    A circle is the set of all those point in a plane whose distance from a fixed point remains constant. The fixed point is called the centre of the circle and the constant distance is known

    Read More