Question

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

Answer 1

Step 1. Add the whole numbers first.

$3+ \frac{5}{6} + \frac{2}{11}$

Step 2. Find the Least Common Denominator (LCD) of $\frac{5}{6}$ , $\frac{2}{11}$

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

$3+ \frac{5*11}{6*11} + \frac{2*6}{11*6}$

Step 4. Simplify. Denominators are now the same

$3+ \frac{55}{66} + \frac{12}{66}$

Step 5. Join the denominators

$3+ \frac{55+12}{66}$

Step 6. Simplify

$3+ \frac{67}{66}$

Step 7. Convert $\frac{67}{66}$ into a mixed fraction

$3+1 \frac{1}{66}$

Step 8. Simplify

$4 \frac{1}{66}$

Done! :) Hope This Helps! :) ♥♥♥

Decimal Form If Needed: 4.015152

Answer 2

Add Estimate:4
Subtract Estimate:0