How to add Whole Number with a Mixed Fraction?

1. First we have to convert mixed fraction to p/q form.
2. Convert the whole number to a fraction with the same denominator as the fraction part of the mixed fraction.
3. Add the fractions together.

The detailed description of each step is given below:

How to convert mixed fractions into p/q form?

Step 1: First multiply the whole number with the denominator.

Step 2: Add the numerator and result of multiplication of the whole number with denominator.

Step 3: Result from Step2 should be placed in the numerator part where the denominator is the same as in the mixed fraction. Hence we got the mixed fraction into proper p/q form.

Let us consider an example for better understanding:

Example: Solve [Tex] 2 + 1\frac{3}{4} [/Tex]

Solution:

First, Convert 2 to a fraction with the same denominator as [Tex]1\frac{3}{4}[/Tex]​, which is 4. So, 2 = 8/4.

Second, Convert [Tex]1\frac{3}{4}[/Tex] to fraction

• Multiply whole number 1 with denominator 4 = 1 x 4 = 4.
• Adding numerator 3 with result in Step1 = 4 + 3 = 7.
• Hence [Tex]1\frac{3}{4}[/Tex] in p/q form is 7/4.

Now add 8/4 to 7/4.

[Tex]\frac{8}{4} + \frac{7}{4} = \frac{15}{4}[/Tex]

Also Check

• Types of Fractions
• How to Convert Mixed Number to Improper Fraction
• How to subtract mixed fractions from whole numbers
• How to Add Fractions with Negative Numbers?

Before going to know how we can add mixed fractions with whole numbers we have to know what is fractions and whole numbers. The number system is the main concept behind whole numbers and mixed fractions. If we have clarity regarding the number system we can easily solve the concept of adding mixed fractions with whole numbers. The number system has concepts like integers, natural numbers, whole numbers, and real numbers.

In this article we will learn how the mixed fractions are added with whole numbers along with definitions of various types of numbers in a number system.