Question

4 3/5:( 1 2/3- 3 1/5) +1 1/8

Answer 1

1)1 2/3-3 1/5=5/3-16/5=
(25-48)/15=-23/15
2)4 3/5:(-23/15)=23/5*(-15/23)=
-15:5=-3
3)-3+1 1/8=-3+9/8=(-24+9)/8=
-15/8=-1 7/8

Answer 2

To simplify the expression, first, let's subtract the second fraction from the first:

4 3/5 - (1 2/3 - 3 1/5) + 1 1/8

To do this, we'll work with the second fraction within the parentheses:

1 2/3 - 3 1/5

To subtract these, we need to find a common denominator. The least common denominator (LCD) for 3 and 5 is 15.

So, we'll convert 2/3 and 1/5 to fractions with a denominator of 15:

(1 10/15) - (3 3/15)

Now, we can subtract these fractions:

(1 10/15) - (3 3/15) = (1 - 3) + (10/15 - 3/15) = -2 + 7/15

Now, we can substitute this result back into the original expression:

4 3/5 - (-2 + 7/15) + 1 1/8

Now, we can simplify further:

4 3/5 + 2 - 7/15 + 1 1/8

To add these fractions and mixed numbers together, we'll need to find a common denominator. The least common denominator (LCD) for 5, 15, and 8 is 120.

So, let's convert all the fractions to have a denominator of 120:

(4 * 24/24) + (2 * 120/120) - (7/15 * 8/8) + (1 * 15/15)

Now, we can add these fractions:

(96/24) + (240/120) - (56/120) + (15/15)

Now, simplify:

4 + 2 - 7/15 + 1

Now, add the whole numbers and fractions:

6 - 7/15

To subtract a fraction from a whole number, we need to make sure they have the same denominator. In this case, we already have a common denominator (15):

6 - 7/15

So, the final result is:

5 8/15