Mixed Numbers - Models

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, where 2 is the whole number and 1/2 is the fraction.

Front

How do you represent the mixed number 3 3/4 using a model?

Back

You can represent 3 3/4 using a model by drawing 3 whole circles (for the 3) and dividing a fourth circle into 4 equal parts, shading 3 of them to show the fraction 3/4.

Front

What is the whole number part of the mixed number 5 2/3?

Back

The whole number part of the mixed number 5 2/3 is 5.

Front

How do you convert the mixed number 4 1/2 into an improper fraction?

Back

To convert 4 1/2 into an improper fraction, multiply the whole number (4) by the denominator (2) and add the numerator (1). This gives you 4*2 + 1 = 9, so 4 1/2 = 9/2.

Front

What does the fraction part of a mixed number represent?

Back

The fraction part of a mixed number represents a part of a whole. For example, in 2 1/4, the 1/4 shows that there is one part out of four equal parts of another whole.

Front

How can you visualize the mixed number 1 3/5?

Back

You can visualize 1 3/5 by drawing 1 whole shape (like a circle) and then dividing another shape into 5 equal parts, shading 3 of them to represent the fraction 3/5.

Front

What is the difference between a mixed number and an improper fraction?

Back

A mixed number has both a whole number and a fraction (like 2 1/3), while an improper fraction has a numerator that is greater than or equal to the denominator (like 7/4).

Front

How do you add mixed numbers?

Back

To add mixed numbers, first add the whole numbers together, then add the fractions. If the fraction sum is improper, convert it to a mixed number.

Front

What is the mixed number for the improper fraction 11/4?

Back

The mixed number for the improper fraction 11/4 is 2 3/4, because 11 divided by 4 is 2 with a remainder of 3.

Front

How do you subtract mixed numbers?

Back

To subtract mixed numbers, subtract the whole numbers first, then subtract the fractions. If the fraction part of the first number is smaller, borrow from the whole number.