Fraction Word Problem Review

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). For example, 1/2 means one part out of two equal parts.

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. For example, to add 1/4 and 1/3, the common denominator is 12: (1/4 = 3/12) + (1/3 = 4/12) = 7/12.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, 2 1/3 is a mixed number, where 2 is the whole number and 1/3 is the fraction.

Front

How do you subtract fractions?

Back

To subtract fractions, ensure they have the same denominator. If they don't, find a common denominator, convert the fractions, and then subtract the numerators. For example, 3/4 - 1/4 = 2/4 = 1/2.

Front

What is the process to 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 sum over the original denominator. For example, 2 1/3 = (2*3 + 1)/3 = 7/3.

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms by dividing the numerator and denominator by their greatest common factor (GCF). For example, 4/8 simplifies to 1/2.

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 after simplification.

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical question presented in a narrative form, requiring the reader to extract relevant information and apply mathematical concepts to find a solution.

Front

How do you solve a fraction word problem?

Back

To solve a fraction word problem, read the problem carefully, identify the fractions involved, determine what is being asked, and apply the appropriate mathematical operations.

Front

What is the importance of finding a common denominator?

Back

Finding a common denominator is crucial when adding or subtracting fractions with different denominators, as it allows for the fractions to be combined accurately.