Question

Steve made 9 3/6 cups of pancake batter on a weekend camping trip. He used 3 4/6 cios of batter for breakfast on Saturday. Write each mixed number as a fraction greater than one.

Answer 1

9 3/6 ⇒ 19/2

3 4/6 ⇒ 11/3

Explanation:

A fraction greater than one is an improper fraction.

`9(3)/(6)` when converted into an improper fraction is

`9(3)/(6) =9+(3)/(6) \\\\=(9*6)/(6)+ (3)/(6)\\\\ =(54)/(6)+ (3)/(6)=(57)/(6)\\\\ =\boxed{(19)/(2). }`

`3(4)/(6)` when converted to a fraction is

`3(4)/(6)=3+(4)/(6)\\\\=(3*6)/(6)+ (4)/(\\\\6)\\\\=(18)/(6)+(4)/(6)=(22)/(6)\\\\=\boxed{(11)/(3). }`

Thus fractions
`9(3)/(6)` and
`3(4)/(6)` when converted to fractions greater than one are
`(19)/(2)` and
`(11)/(3)` respectively.