Question

What is estimate the sum or difference of 1 5/6 + 2 2/11

Answer 1

Add Estimate:4
Subtract Estimate:0

Answer 2

Step 1. Add the whole numbers first.


`3+ (5)/(6) + (2)/(11)`

Step 2. Find the Least Common Denominator (LCD) of
`(5)/(6)` ,
`(2)/(11)`

Method 1: By Listing MultiplesList out all multiples of each denominator, and find the first common one.

Multiples of 6 : 6, 12, 18 ... 54, 60, 66, ...
Multiples of 11 : 11, 22, 33, 44, 55, 66, ...

Therefore, the LCD is 66.

Method 2: By Prime FactorsList all prime factors of each denominator, and find the union of these
primes.
Prime Factors of 6: 2,3

Prime Factors of 11: 11


Therefore, the LCD is 2 x 3 x 11 = 66.

LCD = 66

Step 3. Make the denominators the same as the LCD


`3+ (5*11)/(6*11) + (2*6)/(11*6)`

Step 4. Simplify. Denominators are now the same


`3+ (55)/(66) + (12)/(66)`

Step 5. Join the denominators


`3+ (55+12)/(66)`

Step 6. Simplify


`3+ (67)/(66)`

Step 7. Convert
`(67)/(66)` into a mixed fraction


`3+1 (1)/(66)`

Step 8. Simplify


`4 (1)/(66)`

Done! :) Hope This Helps! :) ♥♥♥

Decimal Form If Needed: 4.015152