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Add proper fraction calculator

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Proper Simple Mixed Improper
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2
5
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1
5
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3
5

Proper fraction addition formula

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

More about proper 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. In proper fractions, the numerator should always be less than the denominator.
3. If the resulting fraction can be simplified, simplify it.

Practise proper fraction addition

Examples

Example 1: Find the proper 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
Proper fraction addition of 3/5 + 1/5 = 4/5.

Example 2: Find the proper fraction addition of 10/12 + 3/9.
Solution: Both fractions have unlike denominators, make the denominator same by finding LCM of denominators. i.e 30/36 and 12/36
Add both fractions i.e 30/36 + 12/36 = 7/6
Proper fraction addition of 10/12 + 3/9 = 7/6.

Example 3: Find the proper fraction addition of 2/11 + 4/6.
Solution: Both fractions have unlike denominators, make the denominator same by finding LCM of denominators. i.e 12/66 and 44/66
Add both fractions i.e 12/66 + 44/66 = 28/33
Proper fraction addition of 2/11 + 4/6 = 28/33.

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

Example 5: Find the proper fraction addition of 7/10 + 8/12.
Solution: Both fractions have unlike denominators, make the denominator same by finding LCM of denominators. i.e 42/60 and 40/60
Add both fractions i.e 42/60 + 40/60 = 41/30
Proper fraction addition of 7/10 + 8/12 = 41/30.

Exercise

1. 10/14 + 8/14 = 9/7
 2. 5/12 + 4/16 = 2/3
 3. 2/8 + 1/6 = 5/12
 4. 15/17 + 2/3 = 79/51
 5. 5/10 + 15/20 = 5/4
 6. 7/34 + 3/17 = 13/34
 7. 3/12 + 19/24 = 25/24
 8. 2/7 + 3/7 = 5/7
 9. 4/38 + 2/19 = 4/19
 10. 5/8 + 3/8 = 1

Add proper fraction calculator FAQ

What is a proper fraction addition?
The proper fractions 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 the result of adding proper fractions?
To simplify a proper fraction or regular fraction, find the greatest common divisor of the numerator and denominator, then divide both the numerator and denominator by the GCD. This process reduces the fraction to its simplest form.
What are the steps to find proper 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 rationalising them, then add the numerator.
Step 4: Simplify the fraction.
What if the result of adding proper fractions is an improper fraction?
If the result of adding proper fractions yields an improper fraction where the numerator is greater than or equal to the denominator, you can convert it to a mixed number by dividing the numerator by the denominator. The quotient becomes the whole number part, and the remainder becomes the numerator of the fraction part.
Could you provide examples from real-life scenarios where the addition of proper fractions is commonly applied?
Addition of proper fractions is commonly applied in various fields like cooking, construction, financial calculations, healthcare, research, time management and production. For example, in cooking, if recipe required 1/2 cup of sugar and 1/4 cup of milk.To determine the total amount of dry and wet ingredients, add 1/2 cup and 1/4 cup, resulting in a combined total of 3/4 cup.
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