4.3E Word Problems Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, 1/2 means one part out of two equal parts.

Front

What does the numerator in a fraction represent?

Back

The numerator is the top number of a fraction and represents how many parts we have.

Front

What does the denominator in a fraction represent?

Back

The denominator is the bottom number of a fraction and represents the total number of equal parts the whole is divided into.

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 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, 3/5 - 1/5 = (3-1)/5 = 2/5.

Front

What is the first step to add fractions with different denominators?

Back

The first step is to find a common denominator, which is a number that both denominators can divide into evenly.

Front

How do you find a common denominator for 1/3 and 1/4?

Back

The common denominator for 1/3 and 1/4 is 12, as it is the smallest number that both 3 and 4 can divide into evenly.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, 2 1/2 is a mixed number, which means 2 whole parts and 1/2 of another part.

Front

How do 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 is the whole number, and the remainder is the new numerator over the original denominator.

Front

What is the process to 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, which simplifies to 1/2.