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Add improper fraction calculator

Fraction
Improper Simple Mixed Proper
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5
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5
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Improper fraction addition formula

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

More about improper 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 common denominators.
2. In improper fractions, the numerator should always be greater than the denominator.
3. If the resulting fraction can be simplified, simplify it.

Practise improper fraction addition

Examples

Example 1: Find the improper fraction addition of 7/2 + 4/3.
Solution: Both fractions have unlike denominators, make the denominator same by finding LCM of denominators. i.e 21/6 and 8/6
Add both fractions i.e 21/6 + 8/6 = 29/6
Improper fraction addition of 7/2 + 4/3 = 29/6.

Example 2: Find the improper fraction addition of 10/3 + 6/4.
Solution: Both fractions have unlike denominators, make the denominator same by finding LCM of denominators. i.e 40/12 and 18/12
Add both fractions i .e 40/12 + 18/12 = 29/6
Improper fraction addition of 10/3 + 6/4 = 29/6.

Example 3: Find the improper fraction addition of 16/4 + 8/5.
Solution: Both fractions have unlike denominators, make the denominator same by finding LCM of denominators. i.e 80/20 and 32/20
Add both fractions i.e 80/20 + 32/20 = 28/5
Improper fraction addition of 16/4 + 8/5 = 28/5.

Example 4: Find the improper fraction addition of 12/5 + 7/6.
Solution: Both fractions have unlike denominators, make the denominator same by finding LCM of denominators. i.e 72/30 and 35/30
Add both fractions i.e 72/30 + 35/30 = 107/30
Improper fraction addition of 12/5 + 7/6 = 107/30.

Example 5: Find the improper fraction addition of 18/4 + 10/7.
Solution: Both fractions have unlike denominators, make the denominator same by finding LCM of denominators. i.e 126/28 and 40/28
Add both fractions i.e 126/28 + 40/28 = 83/14
Improper fraction addition of 18/4 + 10/7 = 83/14.

Exercise

1. 12/5 + 9/5 = 21/5
 2. 19/3 + 14/8 = 97/12
 3. 15/5 + 8/4 = 5/1
 4. 5/2 + 17/12 = 47/12
 5. 20/11 + 30/11 = 50/11
 6. 18/6 + 13/8 = 37/8
 7. 28/8 + 16/9 = 95/18
 8. 10/3 + 18/5 = 104/15
 9. 36/5 + 20/6 = 158/15
 10. 9/8 + 10/8 = 19/8

Add improper fraction calculator FAQ

What is an improper fraction additon?
The improper fractions addition involves adding two or more fractions where at least one of the fractions has a numerator that is greater than or equal to its denominator to form a single fraction. This process requires finding a common denominator for the fractions, adding the numerators while keeping the denominator unchanged.
What should I do if the result of my operation is an improper fraction?
If the result of your operation is an improper fraction or top-heavy fraction, you can convert it to a mixed fraction for easier interpretation or leave it as an improper fraction, depending on the context of your problem.
What are the steps to find improper fraction addition?
Step 1: Make sure the the denominators are the same.
Step 2: If denominators are same, add the numerators together, keeping the denominator common.
Step 3: If denominators are different, make the denominators of the fractions same, by finding the LCM of denominators and rationalizing them, then add the numerator.
Step 4: Simplify the fraction
Are whole numbers examples of improper fraction?
Yes, whole numbers are examples of improper fractions, as we can write any whole number in the form of a fraction in which the numerator is greater than the denominator. For example, 3 = 3/1, 5 = 5/1, etc.
Could you provide examples from real-life scenarios where the addition of improper fractions is commonly applied?
Addition of improper fractions is commonly applied in various fields like cooking, construction, financial calculations, healthcare, and design for combining quantities. For example, In construction, if one worker lays 11/5 meters of bricks and another lays 7/5 meters, their combined effort amounts to 11/5 + 7/5 meters. When added, this totals 18/5 meters, demonstrating the total length of bricks laid by both workers.
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