Could someone show me how to do this.

I hope this helps you

1)

10 1/2= 10.2+1/2=20+1/2=21/2

2)

6 3/7=6.7+3/7=42+3/7=45/7

3)

2 8/9=2.9+8/9=18+8/9=26/9

4)

15 1/4=15.4+1/4=60+1/4=61/4

5)

9 2/3=9.3+2/3=27+2/3=29/3

6)

7 5/8=7.8+5/8=56+5/8=61/8

1) (10x2)+1=21
Therefore it is 21/2, but the reciprocal means the denominator and numerator switch (the upside down version). The reciprocal is 2/21. Do the same to the rest of the problems.