5.7 Subtracting Fractions with Renaming

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

What does it mean to subtract fractions?

Back

Subtracting fractions involves finding the difference between two fractions, which may require finding a common denominator.

Front

How do you find a common denominator for fractions?

Back

To find a common denominator, identify the least common multiple (LCM) of the denominators of the fractions.

Front

What is renaming in subtraction of fractions?

Back

Renaming is the process of converting a mixed number into an improper fraction or adjusting fractions to have a common denominator before subtracting.

Front

How do you 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

Example: Convert 2 1/3 to an improper fraction.

Back

2 1/3 = (2 * 3 + 1)/3 = 7/3.

Front

What is the first step in subtracting mixed numbers?

Back

The first step is to convert the mixed numbers into improper fractions.

Front

Example: Subtract 3 1/2 - 1 1/4.

Back

Convert to improper fractions: 3 1/2 = 7/2 and 1 1/4 = 5/4. Find a common denominator and subtract.

Front

What is the result of 14 3/6 - 4 3/4?

Back

The result is 9 3/4.

Front

How do you simplify a fraction?

Back

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