Question

What is the best estimate of 2/3+3/4

Answer 1

Let's add the fractions first and then we can estimate the sum.

`= (2)/(3) +(3)/(4)`

change to common denominators

`= (8)/(12) +(9)/(12)`

add numerators only

`(17)/(12)` or
`1(5)/(12)` or
`1.42`

ANSWER: 13 is the best estimate of the answer. Normally we round up to 1.4 with a number like 1.42, but since that is not a choice, we can estimate 1 as the answer.

Answer 2

To add two fractions, we need to find a common denominator. The least common multiple of 3 and 4 is 12, so we can convert the fractions to have a denominator of 12:

2/3 = 8/12 (multiply the numerator and denominator by 4)
3/4 = 9/12 (multiply the numerator and denominator by 3)

Now, we can add the fractions:

8/12 + 9/12 = (8 + 9)/12 = 17/12

However, this is an improper fraction, which means we need to convert it to a mixed number:

17/12 = 1 5/12

Therefore, the best estimate of 2/3 + 3/4 is approximately 1 5/12.