Adding and Subtracting Fractions (With Unlike Denominators) Keys

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 have unlike denominators in fractions?

Back

Unlike denominators are when the bottom numbers of two or more fractions are different, making it necessary to find a common denominator to add or subtract them.

Front

How do you add fractions with unlike denominators?

Back

1. Find a common denominator. 2. Convert each fraction to an equivalent fraction with the common denominator. 3. Add the numerators and keep the common denominator.

Front

How do you subtract fractions with unlike denominators?

Back

1. Find a common denominator. 2. Convert each fraction to an equivalent fraction with the common denominator. 3. Subtract the numerators and keep the common denominator.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 1/4.

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 over the original denominator is the fraction.

Front

What is the first step in solving a word problem involving fractions?

Back

Read the problem carefully to understand what is being asked and identify the fractions involved.

Front

If Vince spent 2 3/4 hours cleaning and 1/2 hour cleaning, how do you find the total time spent?

Back

Convert 1/2 hour to a fraction with a common denominator (1/2 = 2/4), then add: 2 3/4 + 2/4 = 3 1/4 hours.

Front

How do you find the remaining amount after consuming a part of a whole?

Back

Subtract the amount consumed from the total amount. For example, if a jug holds 3 1/2 gallons and 1 1/4 gallons are consumed, convert to a common denominator and subtract.

Front

What is the difference between two mixed numbers?

Back

To find the difference, convert both mixed numbers to improper fractions, find a common denominator, and then subtract.