Adding and Subtracting Fractions - Word Problems

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, with a numerator (top number) and a denominator (bottom number).

Front

How do you add fractions with like denominators?

Back

To add fractions with like denominators, you simply add the numerators and keep the denominator the same. For example, 1/4 + 2/4 = (1+2)/4 = 3/4.

Front

How do you add fractions with unlike denominators?

Back

To add fractions with unlike denominators, first find a common denominator, convert the fractions, and then add the numerators. For example, to add 1/2 and 1/3, the common denominator is 6: (1/2 = 3/6) + (1/3 = 2/6) = (3+2)/6 = 5/6.

Front

What is a mixed number?

Back

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

Front

How do you subtract fractions with like denominators?

Back

To subtract fractions with like denominators, subtract the numerators and keep the denominator the same. For example, 3/5 - 1/5 = (3-1)/5 = 2/5.

Front

How do you subtract fractions with unlike denominators?

Back

To subtract fractions with unlike denominators, find a common denominator, convert the fractions, and then subtract the numerators. For example, to subtract 3/4 - 1/2, the common denominator is 4: (1/2 = 2/4), so 3/4 - 2/4 = (3-2)/4 = 1/4.

Front

What is the process for simplifying fractions?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). For example, to simplify 8/12, divide both by 4 to get 2/3.

Front

What is the importance of finding a common denominator?

Back

Finding a common denominator is essential for adding or subtracting fractions with different denominators, as it allows the fractions to be expressed in equivalent forms that can be combined.

Front

How can you convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the new numerator over the original denominator.

Front

What is a word problem in mathematics?

Back

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