Improper Fractions and Mixed Numbers

Improper Fractions

100

Write eighteen fourths as an improper fraction

18

___

 4

200

Draw 4 squares and cut them into 4 sections each. Color in all 4 sections of the first one, all 4 sections of the second, all 4 sections of the third, and 1 section of the fourth one.  Write an improper fraction for the shaded area.

 13

___

 16

300

Change 11 thirds to a mixed number

three and two-thirds

400

Express eighteen fifths as a mixed number

five and three-fifths

500

How do you know that an improper fraction is more than 1?

The numerator is bigger than the denominator

Adding and Subtracting

100

What is two-eighths plus three-eighths?

five-eighths

200

seven-tenths minus one-fifth in simplest form

one-half

300

Ms. Whitcomb has one-third lb of coffee.  She buys another two-ninths lb of coffee.  How much coffee does she have now?

five-ninths lb

400

Martin has seven-eighths yd of fabric.  He uses one-fourth yd to make a shirt.  How many yds of fabric does he have left?

five-eighths yd

500

four-twelfths plus one-third

two-thirds

Mixed Numbers

100

True or False: All mixed numbers have a value less than 1

False

200

Express three and six-sevenths as an improper fraction

twenty-seven sevenths

300

three-fourths plus six-fourths

two and one-fourth

400

Express in simplest form:  four and eight-fourths

6

500

Express in simplest form: six and eight-twentieths

six and two-fifths

Simplest Form

100

eleven-fifths plus four-fifths

3

200

To put a fraction into simplest form, do you need to multiply or divide?

divide

300

True or False:  When putting an improper fraction into simplest form, you can end up with a mixed number or a whole number

True

400

True or False: An improper fraction can be the simplest form of a number

False

500

twelve-thirtieths plus eighteen-thirtieths

1

Unlike Denominators

100

nine-fifteenths minus one-fifth

six-fifteenths, or two-fifths

200

True or False: You cannot add two fractions with different denominators unless you first change them to a common denominator

True

300

one-sixth plus two-ninths

seven-eighteenths

400

one-eighth minus one-twelfth

one-twenty-fourth

500

What do you do when you have two different denominators, and can't use either one as the common denominator? (for example two-fifths and one-fourth)

You need to find a common denominator that is divisible by both.  If you can't figure one out, you can multiply the two denominators together to find one.