Work out 1 2/3 - 3/5. Give the answer as a mixed number in its simplest form
To work out 1 2/3 - 3/5, we first need to convert 1 2/3 to an improper fraction.
1 2/3 as an improper fraction is:
(1 x 3) + 2 / 3 = 5/3
So the equation becomes:
5/3 - 3/5
To subtract fractions, we need to have a common denominator. The common denominator of 3 and 5 is 15.
Therefore, the equation becomes:
(5 x 5) / (3 x 5) - (3 x 3) / (5 x 3)
25/15 - 9/15
= (25 - 9) / 15
= 16/15
Now, we can simplify 16/15 to a mixed number:
16 ÷ 15 = 1 with a remainder of 1
Therefore, 16/15 = 1 1/15
So, 1 2/3 - 3/5 = 1 1/15.