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 the same denominator?

Back

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

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 1/2, convert 1/2 to 2/4, then add: 1/4 + 2/4 = 3/4.

Front

What is a mixed number?

Back

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

Front

How do you subtract fractions with the same denominator?

Back

To subtract fractions with the same denominator, keep the denominator the same and subtract the numerators. For example, 3/4 - 1/4 = (3-1)/4 = 2/4 = 1/2.

Front

How do you subtract fractions with different denominators?

Back

To subtract fractions with different denominators, find a common denominator, convert the fractions, and then subtract the numerators. For example, to subtract 1/2 from 3/4, convert 1/2 to 2/4, then subtract: 3/4 - 2/4 = 1/4.

Front

What is the importance of word problems in math?

Back

Word problems help students apply mathematical concepts to real-life situations, enhancing problem-solving skills and understanding of how math is used in everyday life.

Front

How can you identify the operation needed in a word problem?

Back

To identify the operation needed in a word problem, look for keywords: 'total' or 'combined' often indicates addition, while 'left' or 'remaining' suggests subtraction.

Front

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

Back

The first step is to read the problem carefully, identify the fractions involved, and determine what is being asked.

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 sum over the original denominator. For example, 1 1/2 = (1*2 + 1)/2 = 3/2.