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Fraction
Simple Mixed Proper Improper
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2
5
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1
5
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3
5

Simple fraction addition formula

a b + c d = ( a × d ) + ( b × c ) b × d

More about simple fraction addition

Tricks

1. If the two denominators are not multiples of each other, multiply the denominators directly to find a common denominator.
2. If one denominator is a multiple of the other, use the larger denominator as the common denominator.
3. If the denominators are already the same, simply add the numerators and keep the denominator the same.

Rules

1. Ensure that both fractions have like denominators.
2. If the denominators are not equal, adjust them to be equal.
3. If the resulting fraction can be simplified, simplify it.

Practise simple fraction addition

Examples

Example 1: Find the simple fraction addition of 3/5 + 1/5.
Solution: Both fractions have like denominators. i.e 5
Add both fractions i.e 3/5 + 1/5 = 4/5
Simple fraction addition of 3/5 + 1/5 = 4/5.

Example 2: Find the simple fraction addition of 6/8 + 2/4.
Solution: Both fractions have unlike denominators, make the denominator same by finding LCM of denominators. i.e 6/8 and 4/8
Add both fractions i.e 6/8 + 4/8 = 5/4
Simple fraction addition of 6/8 + 2/4 = 5/4.

Example 3: Find the simple fraction addition of 10/6 + 11/9.
Solution: Both fractions have unlike denominators, make the denominator same by finding LCM of denominators. i.e 30/18 and 22/18
Add both fractions i.e 30/18 + 22/18 = 26/9
Simple fraction addition of 10/6 + 11/9 = 26/9.

Example 4: Find the simple fraction addition of 7/12 + 5/6.
Solution: Both fractions have unlike denominators, make the denominator same by finding LCM of denominators. i.e 7/12 and 10/12
Add both fractions i.e 7/12 + 10/12 = 17/12
Simple fraction addition of 7/12 + 5/6 = 17/12.

Example 5: Find the simple fraction addition of 11/10 + 4/8.
Solution: Both fractions have unlike denominators, make the denominator same by finding LCM of denominators. i.e 44/40 and 20/40
Add both fractions i.e 44/40 + 20/40 = 8/5
Simple fraction addition of 11/10 + 4/8 = 8/5.

Exercise

1. 4/16 + 3/16 = 7/16
 2. 10/15 + 12/15 = 22/15
 3. 22/4 + 18/8 = 31/8
 4. 16/18 + 13/6 = 11/18
 5. 14/4 + 2/7 = 53/14
 6. 17/2 + 8/6 = 59/6
 7. 8/11 + 4/22 = 10/11
 8. 15/6 + 8/12 = 19/6
 9. 16/5 + 4/6 = 58/15
 10. 7/14 + 6/8 = 5/4

Add simple fraction calculator FAQ

What is a simple fraction addition?
The simple fraction addition involves combining two or more fractions to form a single fraction. This process requires finding a common denominator for the fractions, adding the numerators while keeping the denominator unchanged.
How can I simplify a simple fraction?
To simplify a simple fraction or common fraction, find the greatest common divisor of the numerator and denominator, and then divide both by this common divisor. This reduces the fraction to its simplest form.
What are the steps to find simple fraction addition?
Step 1: Make sure that the denominators are like.
Step 2: If denominators are like, add the numerators together, keeping the denominator common.
Step 3: If denominators are unlike, make the denominators of the fractions same, by finding the LCM of denominators and rationalizing them, then add the numerator
Step 4: Reduce fraction to its simplest form.
What should I do if the denominators of the simple fractions I want to add are different?
If the denominators are different, you need to find a common denominator before adding the fractions. This involves finding the least common multiple of the denominators and converting each fraction to an equivalent fraction with the common denominator.
Could you provide examples from real-life scenarios where the addition of simple fractions is commonly applied?
Addition of simple fractions is commonly applied in various fields like cooking, construction, financial calculations, healthcare, and design for combining quantities. For example, in cooking, if one recipe calls for 1/4 cup of sugar and another calls for 1/3 cup, you would add 1/4 and 1/3 to find that you need a total of 7/12 cup of sugar.
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