Question

7/20+2/3 3 2/15-1 1/7

Answer 1

1) 7/20+2/3=7*3/60+2*20/60=61/60=1 1/60
2)3  2/15- 1 1/7=62/15-8/7=62*7/105-8*15/105=434/105-120/105=314/105= 2 104/105

Answer 2

To perform the calculations, let's break it down step by step:

1. Add 7/20 and 2/3:

   7/20 + 2/3 = 21/60 + 40/60 = 61/60

2. Subtract 2/15 from 1 1/7:

   1 1/7 - 2/15

First, convert the mixed number to an improper fraction:

1 1/7 = (7/7 + 1/7) = 8/7

Now, subtract 2/15 from 8/7:

8/7 - 2/15

To subtract fractions, you need a common denominator, which is 105 in this case:

(8/7 * 15/15) - (2/15 * 7/7) = (120/105) - (14/105)

Now, subtract:

(120/105) - (14/105) = 106/105

So, the result of the subtraction is 106/105.

Now, if you want to add this result to the previous one:

61/60 + 106/105

To add these fractions, you need a common denominator, which is 420 in this case:

(61/60 * 7/7) + (106/105 * 4/4) = (427/420) + (424/420)

Now, add:

(427/420) + (424/420) = 851/420

You can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (which is 1 in this case):

(851/1) / (420/1) = 851/420

So, the final result is 851/420.