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To add mixed numbers you first convert them into improper fractions and then get the common denominator out and cross multiply and add the numerators and put the whole thing over the denominator. Sounds confusing? Here's an example:
1 1/2 + 2 3/5.
First step: convert
So 1 1/2 is the same as 3/2 and 2 3/5 is the same as 13/5, so we have 3/2 + 13/5
Second step: common denominator
The easy way to do this is to multiply the denominators together, so you you do 2 times 5 = 10, which is the common denominator
Third step: cross multiply
This is fairly straightforward, you have 3/2 + 13/5, so you do
3(numerator) times 5(denominator) + 13(numerator) times 2(denominator)
so you achieve the result 15 + 26 = 41, so this is the numerator
End:
So all you do is put the numerator over the denominator so you have 41 over 10 which is the same as 4 1/10
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Do you Add both the numerators and the denominators when adding fractions and mixed numbers?
False [ I THINK ]
When you add or subtract fractions with unlike denominators why do you have to find LCM?
Because to add fractions, the denominators must be equal.
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 does using fraction strips with like denominators make it possible to add fractions with unlike denominators?
because they are the same number
How would you add or subtract fractions with like denominators?
The same way you would add or subtract whole numbers, leaving the denominators alone.
How do you add and subtract mixed numbers with unlike denominators?
just change the fration with the smallest denominator and add or subtract the way you always do.
Adding mixed numbers with unlike denominators?
First convert the mixed numbers into "top heavy (or "improper) fractions". Now multiply each of the improper fractions by each other - this makes the denominators the same. Now you can add both the fractions together (and cancel down if necessary).
How would you add two mixed numbers that contain unlike fractions?
you would convert the mixed numbers into fractions where the top number is greater than the bottom number, then multiply both the numerator and the denominator by a number that makes the denominators the same.
How do you add mixed numbers that do not have the same denominator?
You re-scale them so that the denominators are the same.
Do you Add both the numerators and the denominators when adding fractions and mixed numbers?
False [ I THINK ]
How to add and subtract mixed numbers?
Convert them to improper fractions with common denominators and proceed.
What is the benefit of getting the least common multiple of two or more numbers?
It will enable you to add and subtract fractions with unlike denominators.
When you add or subtract fractions with unlike denominators why do you have to find LCM?
Because to add fractions, the denominators must be equal.
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.
How to multiply mixed numbers?
First change the mixed numbers into improper fractions by multiplying the denominator and the whole number and add the product to the numerator in the mixed numbers and then multiply the numerators and the denominators and divide the numerator by the denominator of the product.
How do you add two negative mixed numbers and one positive mixed number?
Convert them to improper fractions with common denominators and proceed with the adding and subtracting.
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.
