Fraction 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, 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: (3/12) + (4/12) = 7/12.

Front

What is the process for dividing a fraction by a whole number?

Back

To divide a fraction by a whole number, multiply the denominator of the fraction by the whole number. For example, 1/2 ÷ 3 = 1/(2*3) = 1/6.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (1/2) * (3/4) = (1*3)/(2*4) = 3/8.

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 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 numerator of the fraction.

Front

What is the significance of the denominator in a fraction?

Back

The denominator indicates the total number of equal parts the whole is divided into.

Front

How do you find the total number of parts when cutting an item into fractions?

Back

To find the total number of parts, divide the total length or quantity by the size of each part. For example, cutting a 9 ft ribbon into 2/3 ft pieces: 9 ÷ (2/3) = 9 * (3/2) = 13.5, which means 13 full pieces.

Front

What is the relationship between fractions and division?

Back

Fractions can be interpreted as division; for example, 1/2 means 1 divided by 2.