Calculate the expanding number of each fraction:
Divide the LCM by the denominator of each fraction.
- 43/39 : 116,441,788,320 ÷ 39 = (25 × 32 × 5 × 11 × 13 × 17 × 29 × 31 × 37) ÷ (3 × 13) = 2,985,686,880
- 64/45 : 116,441,788,320 ÷ 45 = (25 × 32 × 5 × 11 × 13 × 17 × 29 × 31 × 37) ÷ (32 × 5) = 2,587,595,296
- 60/37 : 116,441,788,320 ÷ 37 = (25 × 32 × 5 × 11 × 13 × 17 × 29 × 31 × 37) ÷ 37 = 3,147,075,360
- 55/31 : 116,441,788,320 ÷ 31 = (25 × 32 × 5 × 11 × 13 × 17 × 29 × 31 × 37) ÷ 31 = 3,756,186,720
- 101/40 : 116,441,788,320 ÷ 40 = (25 × 32 × 5 × 11 × 13 × 17 × 29 × 31 × 37) ÷ (23 × 5) = 2,911,044,708
- 42/11 : 116,441,788,320 ÷ 11 = (25 × 32 × 5 × 11 × 13 × 17 × 29 × 31 × 37) ÷ 11 = 10,585,617,120
- 95/22 : 116,441,788,320 ÷ 22 = (25 × 32 × 5 × 11 × 13 × 17 × 29 × 31 × 37) ÷ (2 × 11) = 5,292,808,560
- 126/29 : 116,441,788,320 ÷ 29 = (25 × 32 × 5 × 11 × 13 × 17 × 29 × 31 × 37) ÷ 29 = 4,015,234,080
- 275/32 : 116,441,788,320 ÷ 32 = (25 × 32 × 5 × 11 × 13 × 17 × 29 × 31 × 37) ÷ 25 = 3,638,805,885
- 509/40 : 116,441,788,320 ÷ 40 = (25 × 32 × 5 × 11 × 13 × 17 × 29 × 31 × 37) ÷ (23 × 5) = 2,911,044,708
- 71/6 : 116,441,788,320 ÷ 6 = (25 × 32 × 5 × 11 × 13 × 17 × 29 × 31 × 37) ÷ (2 × 3) = 19,406,964,720
- 567/26 : 116,441,788,320 ÷ 26 = (25 × 32 × 5 × 11 × 13 × 17 × 29 × 31 × 37) ÷ (2 × 13) = 4,478,530,320
- 1,195/34 : 116,441,788,320 ÷ 34 = (25 × 32 × 5 × 11 × 13 × 17 × 29 × 31 × 37) ÷ (2 × 17) = 3,424,758,480
Make the fractions' denominators the same:
Expand each fraction: multiply both its numerator and denominator by its corresponding expanding number, calculated at the step 2, above.
This way all the fractions will have the same denominator:
- 43/39 = - (2,985,686,880 × 43)/(2,985,686,880 × 39) = - 128,384,535,840/116,441,788,320
- 64/45 = - (2,587,595,296 × 64)/(2,587,595,296 × 45) = - 165,606,098,944/116,441,788,320
- 60/37 = - (3,147,075,360 × 60)/(3,147,075,360 × 37) = - 188,824,521,600/116,441,788,320
- 55/31 = - (3,756,186,720 × 55)/(3,756,186,720 × 31) = - 206,590,269,600/116,441,788,320
- 101/40 = - (2,911,044,708 × 101)/(2,911,044,708 × 40) = - 294,015,515,508/116,441,788,320
- 42/11 = - (10,585,617,120 × 42)/(10,585,617,120 × 11) = - 444,595,919,040/116,441,788,320
- 95/22 = - (5,292,808,560 × 95)/(5,292,808,560 × 22) = - 502,816,813,200/116,441,788,320
- 126/29 = - (4,015,234,080 × 126)/(4,015,234,080 × 29) = - 505,919,494,080/116,441,788,320
- 275/32 = - (3,638,805,885 × 275)/(3,638,805,885 × 32) = - 1,000,671,618,375/116,441,788,320
- 509/40 = - (2,911,044,708 × 509)/(2,911,044,708 × 40) = - 1,481,721,756,372/116,441,788,320
- 71/6 = - (19,406,964,720 × 71)/(19,406,964,720 × 6) = - 1,377,894,495,120/116,441,788,320
- 567/26 = - (4,478,530,320 × 567)/(4,478,530,320 × 26) = - 2,539,326,691,440/116,441,788,320
- 1,195/34 = - (3,424,758,480 × 1,195)/(3,424,758,480 × 34) = - 4,092,586,383,600/116,441,788,320