Fraction Operations

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators.

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 subtract fractions?

Back

To subtract fractions, ensure they have a common denominator, then subtract the numerators and keep the common denominator.

Front

What is the process to convert a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

Front

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

Back

Divide the numerator by the denominator; the quotient is the whole number, and the remainder is the new numerator over the original denominator.

Front

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

Back

3/8 + 1/4 = 5/8 after converting 1/4 to 2/8.

Front

What is the result of subtracting -2/3 from -3/4?

Back

-3/4 - (-2/3) = -1/12 after finding a common denominator.

Front

How do you add mixed numbers?

Back

Add the whole numbers together, then add the fractions, and if necessary, convert the result to a mixed number.

Front

What is the sum of 2 3/4 and 3/8?

Back

2 3/4 + 3/8 = 4 7/24 after converting to a common denominator.