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To add, or subtract, numbers with the same denominator, just add or subtract the numerators, and put the result on top of the common denominator. Example: 3/10 + 1/10 = 4/10.
To add or subtract numbers with different denominators, you first find a common denominator, and convert the fractions (by multiplying numerator and denominator of a fraction by the same number). Example: 1/2 + 2/5 - common denominator is 10. 1/2 + 2/5 = 5/10 + 4/5. Now you can add.
Often you are asked to find the least common denominator; however, this can be somewhat tricky. If the larger number is divisible through the smaller, you already have solved this part. If it is not, you might want to simply multiply the two denominators. This will give you a common denominator, but not necessarily the least common denominator. In general, for any numbers a, b, c, and d: a/b + c/d = (ad + bc) / bc. Repeating the previous example: 1/2 + 2/5 = (1x5 + 2x2) / (2x5) = 9/10.
What else can I help you with?
What are unlike mixed numbers?
the fractions have different denominators
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).
Do you have to regroup mixed numbers that have like denominators when subtracting them?
No
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.
When adding mixed numbers what number are you supposed to find the least common multiple?
the denominators
How do you subtract fractions with mixed numbers and like denominators?
Convert them to improper fractions and proceed.
Do you Add both the numerators and the denominators when adding fractions and mixed numbers?
False [ I THINK ]
How do you add mixed numbers that do not have the same denominator?
You re-scale them so that the denominators are the same.
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.
What is the first thing you should look for when adding or subtracting fractions or mixed numbers?
common denominators.
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.
