6 1/5 - 2 2/3=?

Question

Subtract mixed numbers: Write answer in simplest form.

6 1/5 - 2 2/3=

Answer 1

6 1/5 - 2 2/3

31/5 - 8/3

93/15 - 40/15

53/15

3 8/15

Answer 2

There are a number of ways to add/subtract mixed numbers.

WAY 1: Converting into an Improper fraction

6 1/5 - 2 2/3 becomes 31/5 - 8/3
Multiply denominators to get common denominator: (3 • 5 = 15), then cross multiply to get numerators:

(31 • 3) - (8 • 5)/15 ==> (93 - 40)/15 ==> 53/15 (<-- answer)

To turn 53/15 into a mixed number, divide 53 by 15. The remainder will be your numerator and the denominator stays the same:

53 ÷ 15 = 3 r8 ==> 3 8/15

WAY 2: Direct Subtraction.

Step 1: Find Common Denominator

Since we've established it was 15, we'll use it:

6 3/15 - 2 10/15

Since we can't subtract 3/15 from 10/15, we'll need to "borrow" from the "big number":

6 3/15 ==> 5 3/15 (+ 15/15)* ==> 5 18/15
(*NOTE: since we took 1 from the 6, it became 5: [6 - 1 = 5] and we made 1 = 15/15 because 15 is the common denominator).

Now we can subtract:

5 18/15 - 2 10/15

3 8/15

Hope it helped :-)

Answer 3

6 1/5 - 2 2/3= 6 3/15 - 2 10/15 = 5 18/15-2 10/15 = 3 8/15

Answer 4

1. convert both the fractions 31/5 - 8/3 =
2. multiply through by the common denominator in this case 3 x 5 = 15 -> (93 - 40) / 15 =
3. then solve, simplify and change back to mixed

Answer 5

3 8/15

Answer 6

Turn them into improper fractions:
31/5-8/3

15 is the common denominator:
(31*3)/(5*3)-(8*5)/(3*5)=
93/15-40/15=
53/15=
3 8/15

Answer 7

31/5 - 8/3 = 53/15

because

93/15 - 40/15 = 53/15

Answer 8

31/5-8/3=93/15-40/15=
53/15

Answer 9

61/5 -22/3= [ 61*3 -22*5]/15=(183-110)/15= 73/15.