Calculate the expanding number of each fraction:
Divide the LCM by the denominator of each fraction.
- 3/2 : 1,330,143,431,760 ÷ 2 = (24 × 32 × 5 × 11 × 13 × 17 × 19 × 23 × 37 × 47) ÷ 2 = 665,071,715,880
- 55/38 : 1,330,143,431,760 ÷ 38 = (24 × 32 × 5 × 11 × 13 × 17 × 19 × 23 × 37 × 47) ÷ (2 × 19) = 35,003,774,520
- 7/4 : 1,330,143,431,760 ÷ 4 = (24 × 32 × 5 × 11 × 13 × 17 × 19 × 23 × 37 × 47) ÷ 22 = 332,535,857,940
- 34/23 : 1,330,143,431,760 ÷ 23 = (24 × 32 × 5 × 11 × 13 × 17 × 19 × 23 × 37 × 47) ÷ 23 = 57,832,323,120
- 70/37 : 1,330,143,431,760 ÷ 37 = (24 × 32 × 5 × 11 × 13 × 17 × 19 × 23 × 37 × 47) ÷ 37 = 35,949,822,480
- 67/34 : 1,330,143,431,760 ÷ 34 = (24 × 32 × 5 × 11 × 13 × 17 × 19 × 23 × 37 × 47) ÷ (2 × 17) = 39,121,865,640
- 139/47 : 1,330,143,431,760 ÷ 47 = (24 × 32 × 5 × 11 × 13 × 17 × 19 × 23 × 37 × 47) ÷ 47 = 28,300,924,080
- 139/44 : 1,330,143,431,760 ÷ 44 = (24 × 32 × 5 × 11 × 13 × 17 × 19 × 23 × 37 × 47) ÷ (22 × 11) = 30,230,532,540
- 67/16 : 1,330,143,431,760 ÷ 16 = (24 × 32 × 5 × 11 × 13 × 17 × 19 × 23 × 37 × 47) ÷ 24 = 83,133,964,485
- 45/13 : 1,330,143,431,760 ÷ 13 = (24 × 32 × 5 × 11 × 13 × 17 × 19 × 23 × 37 × 47) ÷ 13 = 102,318,725,520
- 61/16 : 1,330,143,431,760 ÷ 16 = (24 × 32 × 5 × 11 × 13 × 17 × 19 × 23 × 37 × 47) ÷ 24 = 83,133,964,485
- 511/37 : 1,330,143,431,760 ÷ 37 = (24 × 32 × 5 × 11 × 13 × 17 × 19 × 23 × 37 × 47) ÷ 37 = 35,949,822,480
- 746/45 : 1,330,143,431,760 ÷ 45 = (24 × 32 × 5 × 11 × 13 × 17 × 19 × 23 × 37 × 47) ÷ (32 × 5) = 29,558,742,928
- 840 : 1,330,143,431,760 ÷ 1 = (24 × 32 × 5 × 11 × 13 × 17 × 19 × 23 × 37 × 47) ÷ 1 = 1,330,143,431,760
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:
- 3/2 = - (665,071,715,880 × 3)/(665,071,715,880 × 2) = - 1,995,215,147,640/1,330,143,431,760
- 55/38 = - (35,003,774,520 × 55)/(35,003,774,520 × 38) = - 1,925,207,598,600/1,330,143,431,760
- 7/4 = - (332,535,857,940 × 7)/(332,535,857,940 × 4) = - 2,327,751,005,580/1,330,143,431,760
- 34/23 = - (57,832,323,120 × 34)/(57,832,323,120 × 23) = - 1,966,298,986,080/1,330,143,431,760
- 70/37 = - (35,949,822,480 × 70)/(35,949,822,480 × 37) = - 2,516,487,573,600/1,330,143,431,760
- 67/34 = - (39,121,865,640 × 67)/(39,121,865,640 × 34) = - 2,621,164,997,880/1,330,143,431,760
- 139/47 = - (28,300,924,080 × 139)/(28,300,924,080 × 47) = - 3,933,828,447,120/1,330,143,431,760
- 139/44 = - (30,230,532,540 × 139)/(30,230,532,540 × 44) = - 4,202,044,023,060/1,330,143,431,760
- 67/16 = - (83,133,964,485 × 67)/(83,133,964,485 × 16) = - 5,569,975,620,495/1,330,143,431,760
- 45/13 = - (102,318,725,520 × 45)/(102,318,725,520 × 13) = - 4,604,342,648,400/1,330,143,431,760
- 61/16 = - (83,133,964,485 × 61)/(83,133,964,485 × 16) = - 5,071,171,833,585/1,330,143,431,760
- 511/37 = - (35,949,822,480 × 511)/(35,949,822,480 × 37) = - 18,370,359,287,280/1,330,143,431,760
- 746/45 = - (29,558,742,928 × 746)/(29,558,742,928 × 45) = - 22,050,822,224,288/1,330,143,431,760
- 840/1 = - (1,330,143,431,760 × 840)/(1,330,143,431,760 × 1) = - 1,117,320,482,678,400/1,330,143,431,760