How is adding mixed numbers like adding fractions and whole numbers?

Question

asked Jul 14, 2021 69.1k views

2 Answers

Jonathanrocher · Answer 1 · 2021-07-19T13:48:03+0000

Solution:

Given that,

We have to add mixed numbers like adding fractions and whole numbers

To add mixed numbers, we first add the whole numbers together, and then the fractions

For example, consider the mixed fractions,

$3(2)/(5) \text{ and } 1(3)/(5)$

Here, denominators are same

Add the whole numbers

3 + 1 = 4

Add the fractions

(2)/(5) + (3)/(5) = (5)/(5) = 1

Thus,

3(2)/(5) + 1(3)/(5) = 4 + 1 = 5

Now consider the mixed fractions with different denominators

$4(1)/(3) \text{ and } 3(2)/(5)$

Add the whole numbers

4 + 3 = 7

Add the fractions

(1)/(3) + (2)/(5)

If the denominators of the fractions are different, then first find equivalent fractions with a common denominator before adding

(1 * 5)/(3 * 5) + (2 * 3)/(5 * 3) = (5)/(15) + (6)/(15) = (11)/(15)

Thus,

4(1)/(3) + 3(2)/(5) = 7 (11)/(15)

Thus, adding mixed numbers like adding fractions and whole numbers is explained