Question

( 1 5/6+7 1/3) x ( 1 1/5 - 1/10) fractions and simplified

Answer 1

`(605)/(60)` or
`10(5)/(60)`

Explanation:

First, convert the mixed fractions to improper fractions:

`((11)/(6) +(22)/(3) )*((6)/(5) -(1)/(10) )`

Then find the LCM of the denominators of the first fractions ( 6 ):

`((11)/(6) +(44)/(6) )*((6)/(5) -(1)/(10) )`

Then add the numerators:

`((55)/(6) )*((6)/(5) -(1)/(10) )`

After that, find the LCM of the denominators of the second fractions ( 10 ):

`((55)/(6) )*((12)/(10) -(1)/(10) )`

Then deduct the values:

`(55)/(6) *(11)/(10)`

Finally, multiply the values:

`(605)/(60)` or
`10(5)/(60)`

Answer 2

( 1 5/6+7 1/3) x ( 1 1/5 - 1/10) = 44/15 as an improper fraction, or 2 14/15 as a mixed number.

Explanation:

First, let's simplify the mixed numbers by converting them to improper fractions:

15/6 + 7/3 = (15x2)/(6x2) + (7x2)/(3x2) = 30/12 + 14/12 = 44/12

1 1/5 - 1/10 = (5/5 x 1) + 1/5 - 1/10 = 5/5 + 2/10 - 1/10 = 9/10

Now we can perform the multiplication:

(44/12) x (9/10) = (11x4)/(3x2) x (9/10) = 44/6 x 9/10 = (22x2)/3 x 9/10 = 44/15

So ( 1 5/6+7 1/3) x ( 1 1/5 - 1/10) = 44/15 as an improper fraction, or 2 14/15 as a mixed number.