Question

(3 1/15- 2 7/15)+(6-3 2/15)= 1 7/18+3 1/4+5 11/18+1 3/4=

Answer 1

1) (3 1/15 - 2 7/15) + (6 - 3 2/15)= (46/15 - 30/15) + (6 - 47/15)= 9/15 + ( 90/15 -
47/15) = 9/15 + 43/15 = 52/15= 3 7/15

2) 17/18 + 3 1/4 + 5 11/18 + 1 3/4=17/18 +5 11/18 + 3 1/4 + 1 3/4 = 5 28/18 + 4 4/4= 5 28/18 + 5 =10 28\18= 268/18=14 16/18 =14 8/9

Answer 2

Let's solve each expression step by step:

1. (3 1/15 - 2 7/15)

To subtract these mixed numbers, we need to find a common denominator, which is 15 in this case.

3 1/15 = (3 * 15 + 1)/15 = 46/15 2 7/15 = (2 * 15 + 7)/15 = 37/15

Now, subtracting:

(46/15 - 37/15) = (46 - 37)/15 = 9/15

Since 9/15 can be simplified, divide both the numerator and denominator by their greatest common divisor (GCD), which is 3:

9/15 = (9/3) / (15/3) = 3/5

So, (3 1/15 - 2 7/15) = 3/5.

2. (6 - 3 2/15)

We'll again find a common denominator, which is 15:

6 = (6 * 15)/15 = 90/15 3 2/15 = (3 * 15 + 2)/15 = 47/15

Now, subtracting:

(90/15 - 47/15) = (90 - 47)/15 = 43/15

3. 1 7/18 + 3 1/4 + 5 11/18 + 1 3/4

To add these mixed numbers, we'll first convert them to improper fractions:

1 7/18 = (1 * 18 + 7)/18 = 25/18 3 1/4 = (3 * 4 + 1)/4 = 13/4 5 11/18 = (5 * 18 + 11)/18 = 101/18 1 3/4 = (1 * 4 + 3)/4 = 7/4

Now, adding all these fractions:

(25/18) + (13/4) + (101/18) + (7/4) = (25 + 101)/18 + (13 + 7)/4 = 126/18 + 20/4

Next, simplify the fractions:

126/18 = (126/6) / (18/6) = 21/3 = 7 20/4 = 5

So, (1 7/18 + 3 1/4 + 5 11/18 + 1 3/4) = 7 + 5 = 12

In conclusion:

(3 1/15 - 2 7/15) = 3/5 (6 - 3 2/15) = 43/15 (1 7/18 + 3 1/4 + 5 11/18 + 1 3/4) = 12