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addition of mixed fractions

Example: 13 2/5 + 16 1/2

1. Change the mixed fractions to improper fractions

13 2/5 = [(5 * 13)+2]/5 = (65+2)/5 = 67/5

16 1/2 = [(2 * 16)+1]/2 = (32+1)/2 = 33/2

2. Find their LCD (Least Common Denominator) and then do the addition.

67/5 + 33/2

= (134 + 165)/10

= 299/10 or 29 9/10

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Related questions

How do I add improper fractions?

Change them into mixed numbers and add the integers and fractions together ensuring that the fractions have a common denominator.


How do you add mixed numbers with like denominators?

Oh, dude, adding mixed numbers with like denominators is a piece of cake! Just add the whole numbers together, then add the fractions together. It's like putting together a puzzle, but with numbers. So, if you have 2 and 1/4 plus 3 and 1/4, you just add 2 plus 3 to get 5, and 1/4 plus 1/4 is 2/4, which simplifies to 1/2. Boom, you got 5 and 1/2! Easy peasy.


When you add and subtract fractions can the answer be a mixed number?

Yes.


How do add mixed improper fraction?

Mixed numbers can be converted to improper fractions. Improper fractions can be added the same way proper fractions are.


How do you find the sum of two mixed numbers?

To find the sum of two mixed numbers, turn the mixed numbers into improper fractions (multiply the base with the denominator and add the numerator), then add the two fractions. To add the two fractions, find the LCD (lowest common denominator) and add the two numerators, but leave the denominators the same.


How do you add fractions without mixed numbers?

irregular fractions! ex. if the equation is 2 3/4, you would multiply 2*4, then add three. that is your numerator, denominator will stay the same. it will =11/4


How do you add and subtract mixed numbers?

SUBTRACTION: You first turn both mixed numbers into improper fractions. If needed, change the denominators into like denominators. Next, subtract the two improper fractions and reduce if necessary. ADDITION: If needed, turn denominators so they are the same number. Next, add and reduce if necessary.


3.75 in mixed fractions?

3 and 3/4


How do you add multiple mixed fractions?

Find a common denominator, add the numerators, simplify if possible.


What are examples of mixed fraction?

A mixed fraction is another way of writing fractions. Mixed fractions include a whole number and a fraction. For example, 2-1/2 is a mixed fraction. But it's equivalent value 5/2 is not a mixed fraction but an improper fraction.


How do you find the average of a mixed fraction?

Same as any average. Add all the fractions and divide them by the amount of fractions


What is 5 and 1 third plus 1 and 1 third?

First you need to change to improper fractions: so: 16/3 and 4/3 and then add the numerators: =20/3 ( changed back to mixed fractions:) 6 2/3