Word Problems on Addition of Mixed Fractions

We will discuss here how to solve the word problems on addition of mixed fractions or addition of mixed numbers.


Let us consider some of the examples.

1. Sam bought 2 ½ kg of sugar from one shop and 6 2/3 kg of sugar from the other shop. How much sugar did he buy in all?

Solution:

Sugar bought from one shop = 2 ½ kg = 5/2 kg

Sugar bought from the other shop = 6 2/3 kg = 20/3 kg

Total quantity of sugar = 5/2 kg + 20/3 kg

                                = 5 × 3/2 × 3 kg + 20 × 2/3 × 2 kg, [L.C.M. of 2 and 3 = 6]

                                = 15/6 kg + 40/6 kg

                                = 55/6 kg

                                 = 9 1/6 kg

So, Sam bought total 9 1/6 kg of sugar.

2. Mike bought 2 ½ kg of tomato, 1 3/8 kg of onion and 5 ¼ kg of brinjal. How much vegetables did he buy?

Solution:

Quantity of tomato Mike bought = 2 ½ kg

Quantity of onion he bought = 1 3/8 kg

Quantity of brinjal he bought = 5 ¼ kg

Total quantity of vegetables Mike bought = 2 ½ kg + 1 3/8 kg + 5 ¼ kg

= (2 + 1 + 5) + (1/2 + 3/8 + ¼) kg

= (8 + ½ + 3/8 + ¼) kg

= (8 + 1 × 4/2 × 4 + 3 × 1/8 × 1 + 1 × 2/4 × 2) kg, [L.C.M. of 2, 4 and 8 = 8]

= (8 + 4/8 + 3/8 + 2/8) kg

= (8 + 9/8) kg

= (8 + 1 1/8) kg

= (8 + 1 + 1/8) kg

= 9 1/8 kg

So, Mike bought total 9 1/8 kg of vegetables in all.


3. Ron walked 3 ¾ km on Monday, 4 1/3 km on Tuesday and 2 7/12 km on Wednesday. What distance did he walk in all?

Solution:

Distance Ron walked on Monday = 3 ¾ km

Distance he walked on Tuesday = 4 1/3 km

Distance he walked on Wednesday = 2 7/12 km

Total distance Ron walked = (3 ¾ + 4 1/3 + 2 7/12) km

= (15/4 + 13/3 + 31/12) km

= (15 × 3/ 4 × 3 + 13 × 4/3 × 4 + 31 × 1/12 × 1) km, [L.C.M. of 4, 3 and 12 = 12]

= (45/12 + 52/12 + 31/12) km

= 128/12 km

= 32/3 km

= 10 2/3 km

So, Ron walked total 10 2/3 km in all.

Related Concept

Fraction of a Whole Numbers

Representation of a Fraction

Equivalent Fractions

Properties of Equivalent Fractions

Like and Unlike Fractions

Comparison of Like Fractions

Comparison of Fractions having the same Numerator

Types of Fractions

Changing Fractions

Conversion of Fractions into Fractions having Same Denominator

Conversion of a Fraction into its Smallest and Simplest Form

Addition of Fractions having the Same Denominator

Subtraction of Fractions having the Same Denominator

Addition and Subtraction of Fractions on the Fraction Number Line






4th Grade Math Activities

From Word Problems on Addition of 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 11, 25 02:14 PM

    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