Fractions

A series of free Pre-Algebra Lessons.

Adding Fractions
How to add fractions with like denominators?

1. Add the numerators, keeping the same denominator.
2. Simplify if possible.

How to add fractions with unlike denominators?

1. Find the least common multiple of the denominators. This is called the least common denominator (LCD).
2. Create equivalent fractions with the same denominator.
3. Add the numerators, keep the same denominator.
4. Simplify if possible.

This video explains how to add fractions with like and unlike denominators. It explains why we must have a common denominator when adding fractions.

• Show Step-by-step Solutions

Subtracting Fractions
How to subtract fractions with like denominators?

1. Add the numerators, keeping the same denominator.
2. Simplify if possible.

How to subtract fractions with unlike denominators?

1. Find the least common multiple of the denominators. This is called the least common denominator (LCD).
2. Create equivalent fractions with the same denominator.
3. Subtract the numerators, keep the same denominator.
4. Simplify if possible.

This video explains how to subtract fractions with like and unlike denominators. It explains why we must have a common denominator when subtracting fractions.

• Show Step-by-step Solutions

Adding Mixed Numbers
How to add Mixed Numbers?

1. Obtain a common denominator for the fractions.
2. Add
3. If the sum has an improper fraction, convert it to a mixed number and add it to the whole number.
4. Simplify if possible.

• Show Step-by-step Solutions

Subtracting Mixed Numbers
How to subtract Mixed Numbers?

1. Obtain a common denominator.
2. Check to see if you need to borrow.
3. Subtract the fractions and then the whole numbers.
4. Simplify if possible.

• Show Step-by-step Solutions

Multiplying and Dividing Mixed Numbers
How to multiply Mixed Numbers?

1. Convert the mixed number to an improper fraction.
2. Simplify if possible.
3. Multiply.
4. Convert back to a mixed number.

How to divide Mixed Numbers?

1. Convert the mixed number to an improper fraction.
2. Rewrite the division problem as a multiplication problem.
3. Simplify if possible.
4. Multiply.
   
5. Convert back to a mixed number.

• Show Step-by-step Solutions

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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