2 5/6+ 3 2/5 in simplest form.

187/30 would be your answer

Step-by-step explanation:

To find new numerator:

a) Multiply the whole number 2 by the denominator 6. Whole number 2 equally 2 * 6/

6

= 12/

6

b) Add the answer from previous step 12 to the numerator 5. New numerator is 12 + 5 = 17

c) Write a previous answer (new numerator 17) over the denominator 6.

Two and five sixths is seventeen sixths

Conversion a mixed number 3 2/

5

to a improper fraction: 3 2/5 = 3 2/

5

= 3 · 5 + 2/

5

= 15 + 2/

5

= 17/

5

To find new numerator:

a) Multiply the whole number 3 by the denominator 5. Whole number 3 equally 3 * 5/

5

= 15/

5

b) Add the answer from previous step 15 to the numerator 2. New numerator is 15 + 2 = 17

c) Write a previous answer (new numerator 17) over the denominator 5.

Three and two fifths is seventeen fifths

Add: 17/

6

+ 17/

5

= 17 · 5/

6 · 5

+ 17 · 6/

5 · 6

= 85/

30

+ 102/

30

= 85 + 102/

30

= 187/

30

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(6, 5) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 5 = 30. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - seventeen sixths plus seventeen fifths = one hundred eighty-seven thirtieths.

17/6 + 17/5

Step-by-step explanation:

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