Ops with Fractions/Mixed Numbers Word Problems

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 1/3.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (2/3) * (3/4) = (2*3)/(3*4) = 6/12 = 1/2.

Front

How do you add fractions with different denominators?

Back

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

Front

What is the process to subtract fractions?

Back

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

Front

What does it mean to find a common denominator?

Back

Finding a common denominator means identifying a shared multiple of the denominators of two or more fractions to make addition or subtraction possible.

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 that over the original denominator.

Front

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

Back

The first step is to read the problem carefully and identify the key information and what is being asked.

Front

How do you determine whether to add, subtract, multiply, or divide in a word problem?

Back

Identify keywords in the problem: 'total' or 'combined' suggests addition, 'difference' suggests subtraction, 'of' suggests multiplication, and 'per' suggests division.

Front

What is the importance of units in word problems?

Back

Units help clarify what is being measured or counted, ensuring that calculations are meaningful and accurate.