Question

Jaxon and drake share a bag of tootsie rolls. Jaxton eats 3/5 of the bag and drake eats 5/12 of the bag. Use benchmark fractions to estimate the fraction of the bag of tootsie rolls jackson and drake ate

Answer 1

`(49)/(60)`

We can conclude that, both of them have eaten almost the complete bag of Tootsie rolls

Explanation:

Given that:

Fraction of Tootsie rolls eaten by Jaxton =
`(3)/(5)`

Fraction of Tootsie rolls eaten by Drake =
`(5)/(12)`

Here, we have to use the Benchmark fractions to estimate what fraction of tootsie roll bags was eaten by Jaxton and Drake.

First of all, let us add the given two fractions to find the total amount of Tootsie rolls eaten by both of them together.

Total Tootsie rolls eaten by both of them =

`(3)/(5) + (5)/(12)\\\\\text{Taking LCM of denominator i.e. 5 and 12 = 60}\\\Rightarrow (3* 12 + 5* 5)/(60)\\\Rightarrow (49)/(60)`

The most commonly used benchmark fractions are 0,
`(1)/(2)` and 1.

Here, with the fraction we can write our benchmark fractions as:

`(0)/(60), (30)/(60), (60)/(60)`

We can see that,
`(49)/(60)` is near to
`(60)/(60)`.

Therefore, we can conclude that, both of them have eaten almost the complete bag of Tootsie rolls.