Adding Fractions

Front

What is the process for adding fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert each fraction to an equivalent fraction with that common denominator, and then add the numerators while keeping the common denominator.

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added or subtracted.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest positive integer that divides two or more integers without leaving a remainder.

Front

What is the sum of 2/3 and 1/4?

Back

To find the sum, convert to a common denominator (12): 2/3 = 8/12 and 1/4 = 3/12. Then add: 8/12 + 3/12 = 11/12.

Front

How do you add mixed numbers?

Back

To add mixed numbers, first convert them to improper fractions, find a common denominator, add the fractions, and then convert back to a mixed number if necessary.

Front

What is the result of adding 3/8 and 1/4?

Back

Convert 1/4 to 2/8. Then add: 3/8 + 2/8 = 5/8.

Front

How do you handle fractions when one is a whole number?

Back

Convert the whole number to a fraction by placing it over 1, then follow the same steps for addition.

Front

What is the importance of simplifying fractions in real-life applications?

Back

Simplifying fractions makes them easier to understand and use in calculations, especially in real-life situations like cooking or budgeting.