How to Add and Subtract Fractions

How to Add and Subtract Fractions

Learn how to add and subtract Fractions in few easy steps.

Related Topics

Step by step guide for Adding and Subtracting Fractions

  • For “like” fractions (fractions with the same denominator), add or subtract the numerators and write the answer over the common denominator.
  • Find equivalent fractions with the same denominator before you can add or subtract fractions with different denominators.
  • Adding and Subtracting with the same denominator:
    \(\frac{a}{\color{blue}{b}} \ + \ \frac{c}{ \color{ blue }{b} } = \frac{a \ + \ c}{ \color{ blue }{b} }\) , \(\frac{a}{ \color{ blue }{b} } \ – \ \frac{c}{ \color{ blue }{b} } =\frac{a \ – \ c}{ \color{ blue }{b} }\)
  • Adding and Subtracting fractions with different denominators:
    \(\frac{a}{ \color{red}{b} } \ + \ \frac{c}{ \color{blue}{d} } = \frac{a \color{blue}{d} \ + \ \color{red}{b} c}{ \color{red}{b} \color{blue}{d} }\) , \(\frac{a}{ \color{red}{b} } \ – \ \frac{c}{ \color{blue}{d} }=\frac{a \color{blue}{d} \ – \ c \color{red}{b} }{ \color{red}{b} \color{blue}{d} }\)

Adding and Subtracting Fractions – Example 1:

Subtract fractions. \( \frac{4}{6} \ – \ \frac{3}{6} = \)

Solution:

For “like” fractions, subtract the numerators and write the answer over the common denominator. then: \(\frac{4}{6} \ – \ \frac{3}{6}=\frac{4 \ – \ 3}{6}=\frac{1}{6}\)

Adding and Subtracting Fractions – Example 2:

Add fractions. \(\frac{3}{7} \ + \ \frac{2}{3}=\)

Solution:

For “unlike” fractions, find equivalent fractions with the same denominator before you can add or subtract fractions with different denominators. Use this formula: \(\frac{a}{\color{red}{b}} \ – \ \frac {c}{\color{blue}{d}}=\frac{a \color{blue}{d} \ – \ c \color{red}{b} }{ \color{red}{b} \color{blue}{d} }\)
\(\frac{3}{\color{red}{7}} \ + \ \frac{2}{\color{blue}{3}}=\frac{(3)( \color{blue}{3} ) \ + \ (2)( \color{red}{7} )}{ \color{red}{7} \ \times \ \color{blue}{3} }=\frac{9 \ + \ 14}{21}=\frac{23}{21}\)

Adding and Subtracting Fractions – Example 3:

Subtract fractions. \(\frac{4}{5} \ – \ \frac{3}{5}=\)

Solution:

For “like” fractions, subtract the numerators and write the answer over the common denominator. then: \(\frac{4}{5}-\frac{3}{5}=\frac{1}{5 }\)

Adding and Subtracting Fractions – Example 4:

Subtract fractions. \(\frac{2}{3} \ – \ \frac{1}{2}=\)

Solution:

For “unlike” fractions, find equivalent fractions with the same denominator before you can add or subtract fractions with different denominators. Use this formula: \( \frac{a \color{blue}{d} \ – \ c \color{red}{b} }{ \color{red}{b} \color{blue}{d} }\)
\(\frac{2}{3}-\frac{1}{2}=\frac{(2)(2) – (1)(3)}{3 × 2}=\frac{4-3}{6}=\frac{1}{6 }\)

Exercises for Adding and Subtracting Fractions

Add fractions and Subtract fractions.

  1. \(\color{blue}{\frac{2}{3}+\frac{1}{2}}\)
  2. \(\color{blue}{\frac{3}{5}+\frac{1}{3}}\)
  3. \(\color{blue}{\frac{5}{6}+\frac{1}{2}}\)
  4. \(\color{blue}{\frac{4}{5}-\frac{2}{5}}\)
  5. \(\color{blue}{\frac{3}{5}-\frac{2}{7}}\)
  6. \(\color{blue}{\frac{1}{2}-\frac{1}{3}}\)

Download Adding and Subtracting Fractions Worksheet

  1. \(\color{blue}{\frac{7}{6}}\)
  2. \(\color{blue}{\frac{14}{15}}\)
  3. \(\color{blue}{\frac{4}{3}}\)
  4. \(\color{blue}{\frac{2}{5}}\)
  5. \(\color{blue}{\frac{11}{35}}\)
  6. \(\color{blue}{\frac{1}{6}}\)

Related to "How to Add and Subtract Fractions"

Top Calculators for the TASC 2021: Quick Review
Top Calculators for the TASC 2021: Quick Review
Top Calculators for the PSAT 2021: Quick Review
Top Calculators for the PSAT 2021: Quick Review
Top 10 Tips You MUST Know to Retake the ACCUPLACER Math
Top 10 Tips You MUST Know to Retake the ACCUPLACER Math
Top Calculators for the GED 2021: Quick Review
Top Calculators for the GED 2021: Quick Review
Top 10 Tips to ACE the SSAT Math Test
Top 10 Tips to ACE the SSAT Math Test
Top 10 Tips to Overcome SSAT Math Anxiety
Top 10 Tips to Overcome SSAT Math Anxiety
Top 10 Tips to Create the SSAT Math Study Plan
Top 10 Tips to Create the SSAT Math Study Plan
Top 10 Tips You MUST Know to Retake the CHSPE Math
Top 10 Tips You MUST Know to Retake the CHSPE Math
Top Calculators for the ACT Math Test 2021: Quick Review
Top Calculators for the ACT Math Test 2021: Quick Review
Top Calculators for the SAT 2021: Quick Review
Top Calculators for the SAT 2021: Quick Review

Leave a Reply

36% 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…