Question

Estimate the sum 10 1/9+ 5 14/15

Answer 1

Answer:
`16(2)/(45)`

Turn 10 1/9 into an Improper Fraction

Multiply
`10*9` and get
`90`. Now add
`1` and get
`91`.

`10(1)/(9) =91/9`

Turn 5 14/15 into an Improper Fraction

Multiply
`5*15` and get
`75`. Now add
`14` and get
`89`.

`5(14)/(15) =89/15`

New Problem:
`91/9+89/15`

Find Common Denominator

`9: 9,18,27,36,45\\15: 15,30,45,60,75\\CD=45`

New Problem:
`91/45+89/45`

Add

`91/45+89/45=722/45`

Simplify

`722/45=16(2)/(45)`

Answer 2

`16 (2)/(45)`

Explanation:

`10 (1)/(9) + 5 (14)/(15) \\ (91)/(9) + (89)/(15) \\ (91 * 5)/(9 * 5) + (89 * 3)/(15 * 3) \\ (455)/(45) + (267)/(45) \\ = (722)/(45) \\ = 16 (2)/(45)`