3rd Grade - Fractions & Mixed Numbers

Front

What is a fraction?

Back

A fraction represents a part of a whole. It is written as two numbers separated by a line, like 1/2, where the top number (numerator) shows how many parts we have, and the bottom number (denominator) shows how many equal parts the whole is divided into.

Front

What is a mixed number?

Back

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

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, like 5/4 or 7/7.

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator, like 3/4 or 2/5.

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

Front

What does it mean for a fraction to be equivalent?

Back

Two fractions are equivalent if they represent the same part of a whole, even if they look different, like 1/2 and 2/4.

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, 3/4 - 1/4 = (3-1)/4 = 2/4.

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, 1/2 + 1/3 = 3/6 + 2/6 = 5/6.

Front

How do you find the fraction of a shape that is shaded?

Back

To find the fraction of a shape that is shaded, count the number of shaded parts and divide by the total number of equal parts in the shape.