Answer:

a. ASKED/REQUIRED: total weight of the fruits

b. GIVEN:

basket 1 = 3 1/6 kg

basket 2 = 6 3/5 kg

basket 3 = 5 2/3 kg

select your strategy:

convert to improper fractions and find the LCD so it will be easier to add.

operation to be used:

ADDITION OF FRACTIONS WITH SAME DENOMINATORS

solution:

convert first to improper fractions

3 1/6 6 3/5 5 2/3

= 3 + ⅙ = 6 + ⅗ = 5 + ⅔

= 3(6/6) + ⅙ = 6(5/5) + ⅗ = 5(3/3) + ⅔

= 18/6 + ⅙ = 30/5 + ⅗ = 15/3 + ⅔

= 19/6 = 33/5 = 17/3

next, find the LCD by getting the LCM of the denominators.

6 = 6, 12, 18, 24, 30

5 = 5, 10, 15, 20, 25, 30

3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

LCD = 30

convert the fractions so they will have same denominators, 30

19/6 = 19/6 * 5/5 = 95/30

33/5 = 33/5 * 6/6 = 198/30

17/3 = 17/3 * 10/10 = 170/30

now we can add the numerators directly.

95/30 + 198/30 + 170/30

= 95 + 198 + 170

30

= 463/30 kg

answer: The total weight is 463/30 kg.

to check:

if we use the calculator,

( 3 1/6) + (6 3/5) + (5 2/3) = 15.4333

and

463/30 = 15.4333