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).

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

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.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

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.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

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.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

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.

Tags

CCSS.7.NS.A.1C

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.

Tags

CCSS.7.NS.A.1C

Front

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

Back

The result is 9 3/4.

Tags

CCSS.7.NS.A.1C

Front

How do you simplify a fraction?

Back

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