Adding Mixed Numbers

Adding Mixed Numbers

Learn how to add Mixed Numbers in few simple steps.

Step by step guide to Adding Mixed Numbers

Use the following steps for adding mixed numbers.

  • Add whole numbers of the mixed numbers.
  • Add the fractions of each mixed number.
  • Find the Least Common Denominator (LCD) if necessary.
  • Add whole numbers and fractions.
  • Write your answer in lowest terms.

Example 1:

Add mixed numbers. \(1 \ \frac{1}{2} \ + \ 2 \ \frac{2}{3}=\)

Solution:

Rewriting our equation with parts separated, \(1+\frac{1}{2}+2+\frac{2}{3} \),

Solving the whole number parts \(1+2=3\),

Solving the fraction parts \(\frac{1}{2}+\frac{2}{3}\), and rewrite to solve with the equivalent fractions.
\( \frac{3}{6}+\frac{4}{6}=\frac{7}{6}=1 \ \frac{1}{6} \), then Combining the whole and fraction parts \(3+1+\frac{1}{6}=4 \ \frac{1}{6}\)

Example 2:

Add mixed numbers. \(2 \ \frac{1}{4} \ + \ 1 \ \frac{2}{5}=\)

Solution:

Rewriting our equation with parts separated, \(2+\frac{1}{4}+1+\frac{2}{5} \),

Solving the whole number parts \(2+1=3\),

Solving the fraction parts \(\frac{1}{4}+\frac{2}{5} \), and rewrite to solve with the equivalent fractions.
\( \frac{5}{20}+\frac{8}{20}=\frac{13}{20} \), then Combining the whole and fraction parts \(3+\frac{13}{20}=3 \ \frac{13}{20}\)

Example 3:

Add mixed numbers. \(1 \ \frac{3}{4} \ + \ 2\ \frac{3}{8}=\)

Solution:

Rewriting our equation with parts separated, \(1+\frac{3}{4}+2+\frac{3}{8} \),

Solving the whole number parts \(1+2=3\), Solving the fraction parts \(\frac{3}{4}+\frac{3}{8}\), and rewrite to solve with the equivalent fractions.
\( \frac{6}{8}+\frac{3}{8}=\frac{9}{8}=1 \ \frac{1}{8}\) , then combining the whole and fraction parts \(3+1+\frac{1}{8}=4 \frac{1}{8}\)

Example 4:

Add mixed numbers. \(1 \ \frac{2}{3} \ + \ 4\ \frac{1}{6}=\)

Solution:

Rewriting our equation with parts separated, \(1+\frac{2}{3}+4+\frac{1}{6 }\),

Solving the whole number parts \(1+4=5\), Solving the fraction parts \(\frac{2}{3}+\frac{1}{6 }\), and rewrite to solve with the equivalent fractions.
\( \frac{2}{3}+\frac{1}{6}=\frac{5}{6 }\), then combining the whole and fraction parts \(5+\frac{5}{6}=5 \ \frac{5}{6}\)

Exercises

Add.

  1. \(\color{blue}{4 \frac{1}{2} + 5 \frac{1}{2}}\)
  2. \(\color{blue}{2 \frac{3}{8} + 3 \frac{1}{8}}\)
  3. \(\color{blue}{6 \frac{1}{5} + 3 \frac{2}{5}}\)
  4. \(\color{blue}{1 \frac{1}{3} + 2 \frac{2}{3}}\)
  5. \(\color{blue}{5 \frac{1}{6} + 5 \frac{1}{2}}\)
  6. \(\color{blue}{3 \frac{1}{3} + 1 \frac{1}{3}}\)

Download Adding and Subtracting Mixed Numbers Worksheet

  1. \(\color{blue}{10}\)
  2. \(\color{blue}{5\frac{1}{2}}\)
  3. \(\color{blue}{9\frac{3}{5}}\)
  4. \(\color {blue}{4}\)
  5. \(\color{blue}{10\frac{2}{3}}\)
  6. \(\color{blue}{4\frac{2}{3}}\)

Related to "Adding Mixed Numbers"

STAAR Math Grade 6 Practice Test Questions
STAAR Math Grade 6 Practice Test Questions
10 Most Common Grade 4 PSSA Math Questions
10 Most Common Grade 4 PSSA Math Questions
FSA Math Grade 8 Practice Test Questions
FSA Math Grade 8 Practice Test Questions
10 Most Common Grade 4 FSA Math Questions
10 Most Common Grade 4 FSA Math Questions
Common Core Math Grade 7 Practice Test Questions
Common Core Math Grade 7 Practice Test Questions
10 Most Common Grade 4 OST Math Questions
10 Most Common Grade 4 OST Math Questions
PARCC Math Grade 7 Practice Test Questions
PARCC Math Grade 7 Practice Test Questions
10 Most Common Grade 4 NYSE Math Questions
10 Most Common Grade 4 NYSE Math Questions
MCAS Math Grade 7 Practice Test Questions
MCAS Math Grade 7 Practice Test Questions
10 Most Common Grade 5 NYSE Math Questions
10 Most Common Grade 5 NYSE Math Questions

Leave a Reply

Your email address will not be published. Required fields are marked *

27% OFF

Download Instantly

X

How Does It Work?

Find Books

1. Find eBooks

Locate the eBook you wish to purchase by searching for the test or title.

add to cart

2. Add to Cart

Add the eBook to your cart.

checkout

3. Checkout

Complete the quick and easy checkout process.

download

4. Download

Immediately receive the download link and get the eBook in PDF format.

Why Buy eBook From Effortlessmath?

Save money

Save up to 70% compared to print

Instantly download

Instantly download and access your eBook

help environment

Help save the environment

Access

Lifetime access to your eBook

Test titles

Over 2,000 Test Prep titles available

Customers

Over 80,000 happy customers

Star

Over 10,000 reviews with an average rating of 4.5 out of 5

Support

24/7 support

Anywhere

Anytime, Anywhere Access

Find Your Test

Schools, tutoring centers, instructors, and parents can purchase Effortless Math eBooks individually or in bulk with a credit card or PayPal. Find out more…